Robert Seiringer
Seiringer Group
168 Publications
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 14931 |

Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110320.
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2023 | Published | Journal Article | IST-REx-ID: 13178 |

Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” Forum of Mathematics. Cambridge University Press, 2023. https://doi.org/10.1017/fms.2023.45.
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2023 | Published | Journal Article | IST-REx-ID: 13207 |

Hainzl, Christian, Barbara Roos, and Robert Seiringer. “Boundary Superconductivity in the BCS Model.” Journal of Spectral Theory. EMS Press, 2023. https://doi.org/10.4171/JST/439.
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2023 | Published | Journal Article | IST-REx-ID: 13225 |

Benedikter, Niels P, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01893-6.
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2023 | Published | Journal Article | IST-REx-ID: 12183 |

Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-022-01252-3.
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2023 | Published | Journal Article | IST-REx-ID: 14254 |

Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110129.
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2023 | Published | Journal Article | IST-REx-ID: 14441 |

Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part I - The Quantum Correction to the Classical Energy.” Communications in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s00220-023-04841-3.
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2023 | Published | Journal Article | IST-REx-ID: 14662 |

Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” Journal of Spectral Theory. EMS Press, 2023. https://doi.org/10.4171/JST/469.
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2023 | Published | Journal Article | IST-REx-ID: 14854
Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/paa.2023.5.973.
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2023 | Published | Book Chapter | IST-REx-ID: 14992 |

Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Universal Functionals in Density Functional Theory.” In Density Functional Theory, edited by Eric Cances and Gero Friesecke, 1st ed., 115–82. MAMOMO. Springer, 2023. https://doi.org/10.1007/978-3-031-22340-2_3.
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2022 | Published | Journal Article | IST-REx-ID: 12246 |

Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-022-01584-5.
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2022 | Published | Journal Article | IST-REx-ID: 11917 |

Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02940-4.
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2022 | Published | Journal Article | IST-REx-ID: 10564 |

Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-021-02851-w.
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2022 | Published | Journal Article | IST-REx-ID: 10755 |

Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing, 2022. https://doi.org/10.1088/1751-8121/ac3947.
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2022 | Published | Journal Article | IST-REx-ID: 10850 |

Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis. Elsevier, 2022. https://doi.org/10.1016/j.jfa.2022.109455.
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2021 | Published | Journal Article | IST-REx-ID: 7901 |

Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae. Springer, 2021. https://doi.org/10.1007/s00222-021-01041-5.
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2021 | Published | Journal Article | IST-REx-ID: 8603 |

Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics. Wiley, 2021. https://doi.org/10.1002/cpa.21944.
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2021 | Published | Journal Article | IST-REx-ID: 14889 |

Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.653.
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2021 | Published | Journal Article | IST-REx-ID: 9225 |

Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.
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2021 | Published | Journal Article | IST-REx-ID: 9246 |

Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01616-9.
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2021 | Published | Journal Article | IST-REx-ID: 9256 |

Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01375-4.
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2021 | Published | Journal Article | IST-REx-ID: 9318 |

Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma. Cambridge University Press, 2021. https://doi.org/10.1017/fms.2021.22.
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2021 | Published | Journal Article | IST-REx-ID: 9462 |

Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109096.
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2021 | Submitted | Preprint | IST-REx-ID: 9787 |

Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.
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2021 | Submitted | Preprint | IST-REx-ID: 9791 |

Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, n.d.
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2021 | Published | Journal Article | IST-REx-ID: 10224 |

Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01715-7.
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2021 | Published | Journal Article | IST-REx-ID: 10537 |

Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01136-y.
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2021 | Published | Journal Article | IST-REx-ID: 10738 |

Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/APDE.2021.14.2079.
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2021 | Published | Journal Article | IST-REx-ID: 10852 |

Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.
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2020 | Published | Journal Article | IST-REx-ID: 7650 |

Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01489-4.
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2020 | Published | Journal Article | IST-REx-ID: 7790 |

Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma. Cambridge University Press, 2020. https://doi.org/10.1017/fms.2020.17.
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2020 | Published | Journal Article | IST-REx-ID: 8091 |

Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics. Springer, 2020. https://doi.org/10.1007/s10955-020-02586-0.
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2020 | Published | Journal Article | IST-REx-ID: 8134 |

Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics. AIP Publishing, 2020. https://doi.org/10.1063/5.0005950.
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2020 | Published | Journal Article | IST-REx-ID: 8705 |

Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare. Springer Nature, 2020. https://doi.org/10.1007/s00023-020-00969-3.
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2020 | Published | Journal Article | IST-REx-ID: 8769 |

Yakaboylu, Enderalp, Areg Ghazaryan, D. Lundholm, N. Rougerie, Mikhail Lemeshko, and Robert Seiringer. “Quantum Impurity Model for Anyons.” Physical Review B. American Physical Society, 2020. https://doi.org/10.1103/physrevb.102.144109.
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2020 | Published | Journal Article | IST-REx-ID: 6649 |

Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.
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2020 | Published | Journal Article | IST-REx-ID: 7235 |

Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02322-3.
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2020 | Published | Journal Article | IST-REx-ID: 14891 |

Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2020. https://doi.org/10.2140/paa.2020.2.35.
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2020 | Published | Journal Article | IST-REx-ID: 9781 |

Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis. Society for Industrial & Applied Mathematics , 2020. https://doi.org/10.1137/19m126284x.
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2019 | Published | Journal Article | IST-REx-ID: 5856 |

Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare. Springer, 2019. https://doi.org/10.1007/s00023-018-00757-0.
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2019 | Published | Journal Article | IST-REx-ID: 80 |

Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.
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2019 | Published | Journal Article | IST-REx-ID: 7015 |

Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B. American Physical Society, 2019. https://doi.org/10.1103/physrevb.100.035127.
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2019 | Published | Journal Article | IST-REx-ID: 7226 |

Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics. AIP Publishing, 2019. https://doi.org/10.1063/1.5138135.
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2019 | Draft | Preprint | IST-REx-ID: 7524 |

Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372. ArXiv, n.d.
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2018 | Published | Journal Article | IST-REx-ID: 295 |

Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y.
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2018 | Published | Journal Article | IST-REx-ID: 154 |

Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer, 2018. https://doi.org/10.1007/s11040-018-9275-3.
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2018 | Published | Journal Article | IST-REx-ID: 180 |

Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64.
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2017 | Published | Journal Article | IST-REx-ID: 1120 |

Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A. American Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608.
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2017 | Published | Journal Article | IST-REx-ID: 1198 |

Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.
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2017 | Published | Journal Article | IST-REx-ID: 741 |

Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s00220-017-2980-0.
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2016 | Published | Journal Article | IST-REx-ID: 1259 |

Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9209-x.
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2016 | Published | Journal Article | IST-REx-ID: 1291 |

Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-016-2665-0.
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2016 | Published | Journal Article | IST-REx-ID: 1143 |

Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE. Mathematical Sciences Publishers, 2016. https://doi.org/10.2140/apde.2016.9.459.
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2016 | Published | Journal Article | IST-REx-ID: 1422 |

Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0847-5.
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2016 | Published | Conference Paper | IST-REx-ID: 1428 |

Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1742-6596/691/1/012016.
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2016 | Published | Journal Article | IST-REx-ID: 1478 |

Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1367-2630/18/3/035002.
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2016 | Published | Journal Article | IST-REx-ID: 1486 |

Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics. American Institute of Physics, 2016. https://doi.org/10.1063/1.4941723.
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2016 | Published | Journal Article | IST-REx-ID: 1620 |

Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-015-2526-2.
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2015 | Published | Journal Article | IST-REx-ID: 1572 |

Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-015-2402-0.
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2015 | Published | Journal Article | IST-REx-ID: 1573 |

Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics. Wiley, 2015. https://doi.org/10.1002/cpa.21552.
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2015 | Published | Journal Article | IST-REx-ID: 1704 |

Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s11005-015-0787-5.
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2015 | Published | Journal Article | IST-REx-ID: 1880 |

Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics. IOP Publishing Ltd., 2015. https://doi.org/10.1088/1367-2630/17/1/013022.
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2015 | Published | Journal Article | IST-REx-ID: 2085 |

Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis. Springer, 2015. https://doi.org/10.1007/s00205-014-0781-6.
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2014 | Published | Conference Paper | IST-REx-ID: 8044 |

Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” In Proceeding of the International Congress of Mathematicans, 3:1175–94. International Congress of Mathematicians, 2014.
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2014 | Published | Conference Paper | IST-REx-ID: 1516 |

Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS Gap Equation for Superfluid Fermionic Gases.” In Proceedings of the QMath12 Conference, 127–37. World Scientific Publishing, 2014. https://doi.org/10.1142/9789814618144_0007.
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2014 | Published | Journal Article | IST-REx-ID: 1821 |

Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4881536.
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2014 | Published | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” Journal of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4884877.
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2014 | Published | Journal Article | IST-REx-ID: 1889 |

Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X14500123.
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2014 | Published | Journal Article | IST-REx-ID: 1904 |

Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society. European Mathematical Society, 2014. https://doi.org/10.4171/JEMS/467.
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2014 | Published | Journal Article | IST-REx-ID: 1918 |

Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X13500219.
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2014 | Published | Journal Article | IST-REx-ID: 1935 |

Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s00220-014-1923-2.
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2014 | Published | Journal Article | IST-REx-ID: 2029 |

Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL. IOP Publishing Ltd., 2014. https://doi.org/10.1209/0295-5075/108/20003.
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2014 | Published | Journal Article | IST-REx-ID: 2186 |

Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-014-0693-2.
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2014 | Published | Journal Article | IST-REx-ID: 2281 |

Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-013-0667-9.
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2014 | Published | Journal Article | IST-REx-ID: 2407 |

Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” Journal of Statistical Physics. Springer, 2014. https://doi.org/10.1007/s10955-013-0791-z.
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2014 | Published | Journal Article | IST-REx-ID: 10814
Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature, 2014. https://doi.org/10.1365/s13291-014-0083-9.
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2013 | Published | Journal Article | IST-REx-ID: 2297 |

Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics. Springer, 2013. https://doi.org/10.1007/s11537-013-1264-5.
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2013 | Published | Journal Article | IST-REx-ID: 2300 |

Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B. American Physical Society, 2013. https://doi.org/10.1103/PhysRevB.88.064401.
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2013 | Published | Conference Paper | IST-REx-ID: 2315 |

Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction,” 610–19. World Scientific Publishing, 2013. https://doi.org/10.1142/9789814449243_0063.
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2013 | Published | Conference Paper | IST-REx-ID: 2319 |

Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “ Derivation of Ginzburg-Landau Theory for a One-Dimensional System with Contact Interaction,” 57–88. Springer, 2013. https://doi.org/10.1007/978-3-0348-0531-5_3.
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2013 | Published | Journal Article | IST-REx-ID: 2404 |

Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal. Duke University Press, 2013. https://doi.org/10.1215/00127094-2019477.
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2013 | Published | Journal Article | IST-REx-ID: 2405 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics. Springer, 2013. https://doi.org/10.1007/s00220-012-1604-y.
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2013 | Published | Journal Article | IST-REx-ID: 2406
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics. Springer, 2013. https://doi.org/10.1140/epjst/e2013-01759-5.
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2013 | Published | Journal Article | IST-REx-ID: 2408 |

Grech, Philip, and Robert Seiringer. “The Excitation Spectrum for Weakly Interacting Bosons in a Trap.” Communications in Mathematical Physics. Springer, 2013. https://doi.org/10.1007/s00220-013-1736-8.
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2012 | Published | Conference Paper | IST-REx-ID: 2316 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0045.
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2012 | Published | Conference Paper | IST-REx-ID: 2317 |

Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0060.
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2012 | Published | Journal Article | IST-REx-ID: 2318 |

Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory. European Mathematical Society, 2012. https://doi.org/10.4171/JST/31.
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2012 | Published | Journal Article | IST-REx-ID: 2394
Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3670747.
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2012 | Published | Journal Article | IST-REx-ID: 2395 |

Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society. American Mathematical Society, 2012. https://doi.org/10.1090/S0894-0347-2012-00735-8.
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2012 | Published | Journal Article | IST-REx-ID: 2396 |

Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-012-0566-5.
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2012 | Published | Journal Article | IST-REx-ID: 2397 |

Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-011-0535-4.
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2012 | Published | Book Review | IST-REx-ID: 2398 |

Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026.
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2012 | Published | Book Chapter | IST-REx-ID: 2399
Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2.
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2012 | Published | Journal Article | IST-REx-ID: 2400 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1436-9.
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2012 | Published | Journal Article | IST-REx-ID: 2401 |

Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics. Springer, 2012. https://doi.org/10.1007/s10955-012-0585-8.
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2012 | Published | Journal Article | IST-REx-ID: 2402 |

Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3697416.
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2012 | Published | Journal Article | IST-REx-ID: 2403 |

Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment. IOP Publishing Ltd., 2012. https://doi.org/10.1088/1742-5468/2012/11/P11007.
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2011 | Published | Conference Paper | IST-REx-ID: 2320 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Binding, Stability, and Non-Binding of Multi-Polaron Systems,” 21–32. World Scientific Publishing, 2011. https://doi.org/10.1142/9789814350365_0002.
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2011 | Published | Conference Paper | IST-REx-ID: 2321 |

Frank, Rupert, Ari Laptev, and Robert Seiringer. “ A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials,” 214:39–44. Springer, 2011. https://doi.org/10.1007/978-3-7643-9994-8_3.
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2011 | Published | Journal Article | IST-REx-ID: 2390 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques. Springer, 2011. https://doi.org/10.1007/s10240-011-0031-5.
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2011 | Published | Journal Article | IST-REx-ID: 2391 |

Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters. American Physical Society, 2011. https://doi.org/10.1103/PhysRevLett.106.150402.
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2011 | Published | Journal Article | IST-REx-ID: 2393 |

Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics. Springer, 2011. https://doi.org/10.1007/s00220-011-1261-6.
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2010 | Published | Conference Paper | IST-REx-ID: 2322 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “ Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities,” 523–35. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0045 .
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2010 | Published | Conference Paper | IST-REx-ID: 2323 |

Seiringer, Robert. “Hot Topics on Cold Gases,” 231–45. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0013.
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2010 | Published | Book Chapter | IST-REx-ID: 2324 |

Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” In Around the Research of Vladimir Maz’ya I, 11:161–67. Springer, 2010. https://doi.org/10.1007/978-1-4419-1341-8_6.
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2010 | Published | Journal Article | IST-REx-ID: 2389 |

Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues of Schrödinger Type Operators with Degenerate Kinetic Energy.” Mathematische Nachrichten. Wiley-Blackwell, 2010. https://doi.org/10.1002/mana.200810195.
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2010 | Published | Journal Article | IST-REx-ID: 2392 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters. American Physical Society, 2010. https://doi.org/10.1103/PhysRevLett.104.210402.
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2009 | Published | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
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2009 | Published | Conference Paper | IST-REx-ID: 2330
Hainzl, Christian, and Robert Seiringer. “A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation,” 500:101–4. American Mathematical Society, 2009. https://doi.org/10.1090/conm/500/09823.
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2009 | Published | Journal Article | IST-REx-ID: 2384 |

Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” Journal of Statistical Physics. Springer, 2009. https://doi.org/10.1007/s10955-009-9718-0.
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2009 | Published | Journal Article | IST-REx-ID: 2385 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2009. https://doi.org/10.1103/PhysRevA.79.063626.
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2009 | Published | Journal Article | IST-REx-ID: 2386 |

Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2009. https://doi.org/10.1103/PhysRevB.80.014502.
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2009 | Published | Journal Article | IST-REx-ID: 2387 |

Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” Journal of Statistical Physics. Springer, 2009. https://doi.org/10.1007/s10955-009-9833-y.
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2009 | Published | Journal Article | IST-REx-ID: 2388 |

Predd, Joel, Robert Seiringer, Élliott Lieb, Daniel Osherson, Harold Poor, and Sanjeev Kulkarni. “Probabilistic Coherence and Proper Scoring Rules.” IEEE Transactions on Information Theory. IEEE, 2009. https://doi.org/10.1109/TIT.2009.2027573.
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2008 | Published | Conference Paper | IST-REx-ID: 2331 |

Hainzl, Christian, and Robert Seiringer. “ Spectral Properties of the BCS Gap Equation of Superfluidity,” 117–36. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0009.
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2008 | Published | Conference Paper | IST-REx-ID: 2332 |

Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” 241–54. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0017.
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2008 | Published | Journal Article | IST-REx-ID: 2374 |

Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s00220-008-0428-2.
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2008 | Published | Journal Article | IST-REx-ID: 2376 |

Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2008. https://doi.org/10.1103/PhysRevB.77.184517.
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2008 | Published | Journal Article | IST-REx-ID: 2377 |

Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.” Letters in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s11005-008-0242-y.
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2008 | Published | Journal Article | IST-REx-ID: 2378 |

Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” Journal of Statistical Physics. Springer, 2008. https://doi.org/10.1007/s10955-008-9527-x.
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2008 | Published | Journal Article | IST-REx-ID: 2379 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” Journal of the American Mathematical Society. American Mathematical Society, 2008. https://doi.org/10.1090/S0894-0347-07-00582-6.
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2008 | Published | Journal Article | IST-REx-ID: 2380 |

Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The BCS Functional for General Pair Interactions.” Communications in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s00220-008-0489-2.
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2008 | Published | Journal Article | IST-REx-ID: 2381 |

Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.” Journal of Functional Analysis. Academic Press, 2008. https://doi.org/10.1016/j.jfa.2008.05.015.
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2008 | Published | Journal Article | IST-REx-ID: 2382 |

Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.” Communications in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s00220-008-0521-6.
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2008 | Published | Journal Article | IST-REx-ID: 2383 |

Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics. World Scientific Publishing, 2008. https://doi.org/10.1142/S0129055X08003547.
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2007 | Published | Journal Article | IST-REx-ID: 2367 |

Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” Letters in Mathematical Physics. Springer, 2007. https://doi.org/10.1007/s11005-007-0159-x.
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2007 | Published | Journal Article | IST-REx-ID: 2370 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics. Elsevier, 2007. https://doi.org/10.1016/S0034-4877(07)80074-7.
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2007 | Published | Journal Article | IST-REx-ID: 2371 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” Communications in Mathematical Physics. Springer, 2007. https://doi.org/10.1007/s00220-007-0307-2.
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2007 | Published | Journal Article | IST-REx-ID: 2372 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2007. https://doi.org/10.1103/PhysRevA.76.052517.
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2007 | Published | Journal Article | IST-REx-ID: 2373 |

Frank, Rupert, Christian Hainzl, Serguei Naboko, and Robert Seiringer. “The Critical Temperature for the BCS Equation at Weak Coupling.” Journal of Geometric Analysis. Springer, 2007. https://doi.org/10.1007/BF02937429.
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2007 | Published | Journal Article | IST-REx-ID: 2375 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” Letters in Mathematical Physics. Springer, 2007. https://doi.org/10.1007/s11005-007-0211-x.
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2006 | Published | Conference Paper | IST-REx-ID: 2333 |

Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground-State Energy of a Dilute Fermi Gas,” 412:239–48. American Mathematical Society, 2006. https://doi.org/10.1090/conm/412.
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2006 | Published | Conference Paper | IST-REx-ID: 2334 |

Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps.” edited by Jean Zambrini. World Scientific Publishing, 2006. https://doi.org/10.1007/s00220-003-0993-3.
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2006 | Published | Book Review | IST-REx-ID: 2363 |

Lieb, Élliott, and Robert Seiringer. “Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases.” Communications in Mathematical Physics. Springer, 2006. https://doi.org/10.1007/s00220-006-1524-9.
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2006 | Published | Journal Article | IST-REx-ID: 2364 |

Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems at Positive Temperature.” Reviews in Mathematical Physics. World Scientific Publishing, 2006. https://doi.org/10.1142/S0129055X06002632.
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2006 | Published | Journal Article | IST-REx-ID: 2365 |

Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.” Communications in Mathematical Physics. Springer, 2006. https://doi.org/10.1007/s00220-005-1433-3.
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2006 | Published | Journal Article | IST-REx-ID: 2366 |

Frank, Rupert, Ari Laptev, Élliott Lieb, and Robert Seiringer. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.” Letters in Mathematical Physics. Springer, 2006. https://doi.org/10.1007/s11005-006-0095-1.
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2006 | Published | Book Chapter | IST-REx-ID: 2368
Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.” In Large Coulomb Systems, edited by Jan Dereziński and Heinz Siedentop, 695:249–74. Springer, 2006. https://doi.org/10.1007/3-540-32579-4_6.
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2006 | Published | Book Chapter | IST-REx-ID: 2369 |

Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.” In Mathematical Physics of Quantum Mechanics, edited by Joachim Asch and Alain Joye, 690:199–215. Springer, 2006. https://doi.org/10.1007/b11573432.
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2005 | Published | Book | IST-REx-ID: 2335 |

Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. The Mathematics of the Bose Gas and Its Condensation. Vol. 34. Basel ; Berlin: Birkhäuser Verlag, 2005. https://doi.org/10.1007/b137508.
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2005 | Published | Book Chapter | IST-REx-ID: 2336 |

Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.” In Perspectives in Analysis, edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler, 27:97–183. Springer, 2005. https://doi.org/10.1007/3-540-30434-7_9.
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2005 | Published | Journal Article | IST-REx-ID: 2359 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters. American Physical Society, 2005. https://doi.org/10.1103/PhysRevLett.94.080401.
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2005 | Published | Journal Article | IST-REx-ID: 2361 |

Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2005. https://doi.org/10.1103/PhysRevA.71.062329.
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2005 | Published | Journal Article | IST-REx-ID: 2362 |

Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2005. https://doi.org/10.1103/PhysRevA.71.053605.
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2004 | Published | Journal Article | IST-REx-ID: 2355 |

Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics. Springer, 2004. https://doi.org/10.1023/B:JOSS.0000019811.15510.27.
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2004 | Published | Journal Article | IST-REx-ID: 2356 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases.” Communications in Mathematical Physics. Springer, 2004. https://doi.org/10.1007/s00220-003-0993-3.
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2004 | Published | Journal Article | IST-REx-ID: 2360 |

Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2004. https://doi.org/10.1103/PhysRevA.70.023612.
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2003 | Published | Conference Paper | IST-REx-ID: 2337 |

Lieb, Élliott, and Robert Seiringer. “Bose-Einstein Condensation of Dilute Gases in Traps .” edited by Yulia Karpeshina, Rudi Weikard, and Yanni Zeng, 327:239–50. American Mathematical Society, 2003. https://doi.org/10.1090/conm/327/05818.
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2003 | Published | Journal Article | IST-REx-ID: 2354 |

Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd., 2003. https://doi.org/10.1088/0305-4470/36/37/312.
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2003 | Published | Journal Article | IST-REx-ID: 2357 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Poincaré Inequalities in Punctured Domains.” Annals of Mathematics. Princeton University Press, 2003. https://doi.org/10.4007/annals.2003.158.1067 .
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2003 | Published | Journal Article | IST-REx-ID: 2358 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Bosons in Three-Dimensional Traps.” Physical Review Letters. American Physical Society, 2003. https://doi.org/10.1103/PhysRevLett.91.150401.
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2002 | Published | Book Chapter | IST-REx-ID: 2338 |

Lieb, Élliott, Jan Solovej, Robert Seiringer, and Jakob Yngvason. “The Ground State of the Bose Gas.” In Current Developments in Mathematics, 2001, 131–78. International Press, 2002. https://doi.org/10.48550/arXiv.math-ph/0204027.
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| arXiv
2002 | Published | Conference Paper | IST-REx-ID: 2339
Seiringer, Robert. “Symmetry Breaking in a Model of a Rotating Bose Gas.” edited by Richardo Weder, Pavel Exner, and Benoit Grébert, 307:281–86. World Scientific Publishing, 2002. https://doi.org/10.1090/conm/307.
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2002 | Published | Journal Article | IST-REx-ID: 2349 |

Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation for Dilute Trapped Gases.” Physical Review Letters. American Physical Society, 2002. https://doi.org/10.1103/PhysRevLett.88.170409.
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2002 | Published | Journal Article | IST-REx-ID: 2350 |

Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy Level Shift in Non-Relativistic QED.” Advances in Theoretical and Mathematical Physics. International Press, 2002. https://doi.org/10.4310/ATMP.2002.v6.n5.a3.
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2002 | Published | Journal Article | IST-REx-ID: 2351 |

Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.” Communications in Mathematical Physics. Springer, 2002. https://doi.org/10.1007/s00220-002-0695-2.
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2002 | Published | Journal Article | IST-REx-ID: 2352 |

Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on ℝn and Applications to N-Body Quantum Systems.” Letters in Mathematical Physics. Springer, 2002. https://doi.org/10.1023/A:1020204818938.
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2002 | Published | Journal Article | IST-REx-ID: 2353 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2002. https://doi.org/10.1103/PhysRevB.66.134529.
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2001 | Published | Conference Paper | IST-REx-ID: 2340 |

Seiringer, Robert. “Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula.” edited by Michael Demuth and Bert Schultze, 126:307–14. Birkhäuser, 2001. https://doi.org/10.1007/978-3-0348-8231-6.
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2001 | Published | Journal Article | IST-REx-ID: 2341 |

Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic "Electrons" in Strong Magnetic Fields.” Annales Henri Poincare. Birkhäuser, 2001. https://doi.org/10.1007/PL00001032.
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2001 | Published | Journal Article | IST-REx-ID: 2345 |

Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” Journal of Physics A: Mathematical and General. IOP Publishing Ltd., 2001. https://doi.org/10.1088/0305-4470/34/9/311.
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2001 | Published | Journal Article | IST-REx-ID: 2346 |

Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.” Letters in Mathematical Physics. Springer, 2001. https://doi.org/10.1023/A:1010951905548.
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2001 | Published | Journal Article | IST-REx-ID: 2347 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas.” Communications in Mathematical Physics. Springer, 2001. https://doi.org/10.1007/s002200100533.
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2001 | Published | Journal Article | IST-REx-ID: 2348 |

Hainzl, Christian, and Robert Seiringer. “A Discrete Density Matrix Theory for Atoms in Strong Magnetic Fields.” Communications in Mathematical Physics. Springer, 2001. https://doi.org/10.1007/s002200100373.
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2000 | Published | Conference Paper | IST-REx-ID: 2325
Seiringer, Robert. “Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem ,” 529:53–72. American Mathematical Society, 2000. https://doi.org/10.1090/conm/529.
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2000 | Published | Conference Paper | IST-REx-ID: 2342 |

Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “The Ground State Energy and Density of Interacting Bosons in a Trap.” In Proceedings of the International Symposium on Quantum Theory and Symmetries, 101–10. World Scientific Publishing, 2000.
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2000 | Published | Journal Article | IST-REx-ID: 2343 |

Baumgartner, Bernhard, and Robert Seiringer. “On the Ordering of Energy Levels in Homogeneous Magnetic Fields.” Letters in Mathematical Physics. Springer, 2000. https://doi.org/ 10.1023/A:1010978807635.
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2000 | Published | Journal Article | IST-REx-ID: 2344 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2000. https://doi.org/10.1103/PhysRevA.61.043602.
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2024 | Epub ahead of print | Journal Article | IST-REx-ID: 14931 |

Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110320.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13178 |

Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” Forum of Mathematics. Cambridge University Press, 2023. https://doi.org/10.1017/fms.2023.45.
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2023 | Published | Journal Article | IST-REx-ID: 13207 |

Hainzl, Christian, Barbara Roos, and Robert Seiringer. “Boundary Superconductivity in the BCS Model.” Journal of Spectral Theory. EMS Press, 2023. https://doi.org/10.4171/JST/439.
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2023 | Published | Journal Article | IST-REx-ID: 13225 |

Benedikter, Niels P, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01893-6.
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2023 | Published | Journal Article | IST-REx-ID: 12183 |

Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-022-01252-3.
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2023 | Published | Journal Article | IST-REx-ID: 14254 |

Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis. Elsevier, 2023. https://doi.org/10.1016/j.jfa.2023.110129.
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2023 | Published | Journal Article | IST-REx-ID: 14441 |

Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part I - The Quantum Correction to the Classical Energy.” Communications in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s00220-023-04841-3.
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2023 | Published | Journal Article | IST-REx-ID: 14662 |

Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” Journal of Spectral Theory. EMS Press, 2023. https://doi.org/10.4171/JST/469.
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2023 | Published | Journal Article | IST-REx-ID: 14854
Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/paa.2023.5.973.
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2023 | Published | Book Chapter | IST-REx-ID: 14992 |

Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Universal Functionals in Density Functional Theory.” In Density Functional Theory, edited by Eric Cances and Gero Friesecke, 1st ed., 115–82. MAMOMO. Springer, 2023. https://doi.org/10.1007/978-3-031-22340-2_3.
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2022 | Published | Journal Article | IST-REx-ID: 12246 |

Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-022-01584-5.
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2022 | Published | Journal Article | IST-REx-ID: 11917 |

Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02940-4.
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2022 | Published | Journal Article | IST-REx-ID: 10564 |

Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-021-02851-w.
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2022 | Published | Journal Article | IST-REx-ID: 10755 |

Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing, 2022. https://doi.org/10.1088/1751-8121/ac3947.
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2022 | Published | Journal Article | IST-REx-ID: 10850 |

Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis. Elsevier, 2022. https://doi.org/10.1016/j.jfa.2022.109455.
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 7901 |

Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae. Springer, 2021. https://doi.org/10.1007/s00222-021-01041-5.
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 8603 |

Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics. Wiley, 2021. https://doi.org/10.1002/cpa.21944.
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2021 | Published | Journal Article | IST-REx-ID: 14889 |

Leopold, Nikolai K, David Johannes Mitrouskas, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/paa.2021.3.653.
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2021 | Published | Journal Article | IST-REx-ID: 9225 |

Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.
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2021 | Published | Journal Article | IST-REx-ID: 9246 |

Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01616-9.
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9256 |

Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01375-4.
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2021 | Published | Journal Article | IST-REx-ID: 9318 |

Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma. Cambridge University Press, 2021. https://doi.org/10.1017/fms.2021.22.
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2021 | Published | Journal Article | IST-REx-ID: 9462 |

Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis. Elsevier, 2021. https://doi.org/10.1016/j.jfa.2021.109096.
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| arXiv
2021 | Submitted | Preprint | IST-REx-ID: 9787 |

Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.
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2021 | Submitted | Preprint | IST-REx-ID: 9791 |

Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, n.d.
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2021 | Published | Journal Article | IST-REx-ID: 10224 |

Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01715-7.
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 10537 |

Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré. Springer Nature, 2021. https://doi.org/10.1007/s00023-021-01136-y.
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2021 | Published | Journal Article | IST-REx-ID: 10738 |

Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE. Mathematical Sciences Publishers, 2021. https://doi.org/10.2140/APDE.2021.14.2079.
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2021 | Published | Journal Article | IST-REx-ID: 10852 |

Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.
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2020 | Published | Journal Article | IST-REx-ID: 7650 |

Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01489-4.
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| arXiv
2020 | Published | Journal Article | IST-REx-ID: 7790 |

Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma. Cambridge University Press, 2020. https://doi.org/10.1017/fms.2020.17.
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2020 | Published | Journal Article | IST-REx-ID: 8091 |

Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics. Springer, 2020. https://doi.org/10.1007/s10955-020-02586-0.
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2020 | Published | Journal Article | IST-REx-ID: 8134 |

Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics. AIP Publishing, 2020. https://doi.org/10.1063/5.0005950.
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2020 | Published | Journal Article | IST-REx-ID: 8705 |

Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare. Springer Nature, 2020. https://doi.org/10.1007/s00023-020-00969-3.
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2020 | Published | Journal Article | IST-REx-ID: 8769 |

Yakaboylu, Enderalp, Areg Ghazaryan, D. Lundholm, N. Rougerie, Mikhail Lemeshko, and Robert Seiringer. “Quantum Impurity Model for Anyons.” Physical Review B. American Physical Society, 2020. https://doi.org/10.1103/physrevb.102.144109.
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2020 | Published | Journal Article | IST-REx-ID: 6649 |

Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03505-5.
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2020 | Published | Journal Article | IST-REx-ID: 7235 |

Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics. Springer Nature, 2020. https://doi.org/10.1007/s10955-019-02322-3.
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2020 | Published | Journal Article | IST-REx-ID: 14891 |

Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2020. https://doi.org/10.2140/paa.2020.2.35.
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2020 | Published | Journal Article | IST-REx-ID: 9781 |

Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis. Society for Industrial & Applied Mathematics , 2020. https://doi.org/10.1137/19m126284x.
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2019 | Published | Journal Article | IST-REx-ID: 5856 |

Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare. Springer, 2019. https://doi.org/10.1007/s00023-018-00757-0.
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2019 | Published | Journal Article | IST-REx-ID: 80 |

Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.
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2019 | Published | Journal Article | IST-REx-ID: 7015 |

Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B. American Physical Society, 2019. https://doi.org/10.1103/physrevb.100.035127.
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2019 | Published | Journal Article | IST-REx-ID: 7226 |

Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics. AIP Publishing, 2019. https://doi.org/10.1063/1.5138135.
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2019 | Draft | Preprint | IST-REx-ID: 7524 |

Deuchert, Andreas, Simon Mayer, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv:1910.03372. ArXiv, n.d.
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2018 | Published | Journal Article | IST-REx-ID: 295 |

Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y.
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2018 | Published | Journal Article | IST-REx-ID: 154 |

Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry. Springer, 2018. https://doi.org/10.1007/s11040-018-9275-3.
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2018 | Published | Journal Article | IST-REx-ID: 180 |

Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques. Ecole Polytechnique, 2018. https://doi.org/10.5802/jep.64.
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2017 | Published | Journal Article | IST-REx-ID: 1120 |

Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A. American Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608.
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2017 | Published | Journal Article | IST-REx-ID: 1198 |

Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.
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2017 | Published | Journal Article | IST-REx-ID: 741 |

Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s00220-017-2980-0.
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2016 | Published | Journal Article | IST-REx-ID: 1259 |

Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry. Springer, 2016. https://doi.org/10.1007/s11040-016-9209-x.
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2016 | Published | Journal Article | IST-REx-ID: 1291 |

Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-016-2665-0.
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2016 | Published | Journal Article | IST-REx-ID: 1143 |

Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE. Mathematical Sciences Publishers, 2016. https://doi.org/10.2140/apde.2016.9.459.
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2016 | Published | Journal Article | IST-REx-ID: 1422 |

Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s11005-016-0847-5.
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2016 | Published | Conference Paper | IST-REx-ID: 1428 |

Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1742-6596/691/1/012016.
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2016 | Published | Journal Article | IST-REx-ID: 1478 |

Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1367-2630/18/3/035002.
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2016 | Published | Journal Article | IST-REx-ID: 1486 |

Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics. American Institute of Physics, 2016. https://doi.org/10.1063/1.4941723.
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2016 | Published | Journal Article | IST-REx-ID: 1620 |

Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics. Springer, 2016. https://doi.org/10.1007/s00220-015-2526-2.
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2015 | Published | Journal Article | IST-REx-ID: 1572 |

Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-015-2402-0.
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2015 | Published | Journal Article | IST-REx-ID: 1573 |

Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics. Wiley, 2015. https://doi.org/10.1002/cpa.21552.
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2015 | Published | Journal Article | IST-REx-ID: 1704 |

Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s11005-015-0787-5.
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2015 | Published | Journal Article | IST-REx-ID: 1880 |

Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics. IOP Publishing Ltd., 2015. https://doi.org/10.1088/1367-2630/17/1/013022.
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2015 | Published | Journal Article | IST-REx-ID: 2085 |

Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis. Springer, 2015. https://doi.org/10.1007/s00205-014-0781-6.
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2014 | Published | Conference Paper | IST-REx-ID: 8044 |

Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” In Proceeding of the International Congress of Mathematicans, 3:1175–94. International Congress of Mathematicians, 2014.
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2014 | Published | Conference Paper | IST-REx-ID: 1516 |

Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS Gap Equation for Superfluid Fermionic Gases.” In Proceedings of the QMath12 Conference, 127–37. World Scientific Publishing, 2014. https://doi.org/10.1142/9789814618144_0007.
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2014 | Published | Journal Article | IST-REx-ID: 1821 |

Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4881536.
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2014 | Published | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” Journal of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4884877.
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2014 | Published | Journal Article | IST-REx-ID: 1889 |

Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X14500123.
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2014 | Published | Journal Article | IST-REx-ID: 1904 |

Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society. European Mathematical Society, 2014. https://doi.org/10.4171/JEMS/467.
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2014 | Published | Journal Article | IST-REx-ID: 1918 |

Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X13500219.
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2014 | Published | Journal Article | IST-REx-ID: 1935 |

Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s00220-014-1923-2.
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2014 | Published | Journal Article | IST-REx-ID: 2029 |

Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL. IOP Publishing Ltd., 2014. https://doi.org/10.1209/0295-5075/108/20003.
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2014 | Published | Journal Article | IST-REx-ID: 2186 |

Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-014-0693-2.
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2014 | Published | Journal Article | IST-REx-ID: 2281 |

Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-013-0667-9.
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2014 | Published | Journal Article | IST-REx-ID: 2407 |

Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” Journal of Statistical Physics. Springer, 2014. https://doi.org/10.1007/s10955-013-0791-z.
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2014 | Published | Journal Article | IST-REx-ID: 10814
Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature, 2014. https://doi.org/10.1365/s13291-014-0083-9.
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2013 | Published | Journal Article | IST-REx-ID: 2297 |

Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics. Springer, 2013. https://doi.org/10.1007/s11537-013-1264-5.
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2013 | Published | Journal Article | IST-REx-ID: 2300 |

Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B. American Physical Society, 2013. https://doi.org/10.1103/PhysRevB.88.064401.
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2013 | Published | Conference Paper | IST-REx-ID: 2315 |

Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction,” 610–19. World Scientific Publishing, 2013. https://doi.org/10.1142/9789814449243_0063.
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2013 | Published | Conference Paper | IST-REx-ID: 2319 |

Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “ Derivation of Ginzburg-Landau Theory for a One-Dimensional System with Contact Interaction,” 57–88. Springer, 2013. https://doi.org/10.1007/978-3-0348-0531-5_3.
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2013 | Published | Journal Article | IST-REx-ID: 2404 |

Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal. Duke University Press, 2013. https://doi.org/10.1215/00127094-2019477.
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2013 | Published | Journal Article | IST-REx-ID: 2405 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics. Springer, 2013. https://doi.org/10.1007/s00220-012-1604-y.
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2013 | Published | Journal Article | IST-REx-ID: 2406
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics. Springer, 2013. https://doi.org/10.1140/epjst/e2013-01759-5.
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2013 | Published | Journal Article | IST-REx-ID: 2408 |

Grech, Philip, and Robert Seiringer. “The Excitation Spectrum for Weakly Interacting Bosons in a Trap.” Communications in Mathematical Physics. Springer, 2013. https://doi.org/10.1007/s00220-013-1736-8.
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2012 | Published | Conference Paper | IST-REx-ID: 2316 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0045.
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2012 | Published | Conference Paper | IST-REx-ID: 2317 |

Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0060.
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2012 | Published | Journal Article | IST-REx-ID: 2318 |

Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory. European Mathematical Society, 2012. https://doi.org/10.4171/JST/31.
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2012 | Published | Journal Article | IST-REx-ID: 2394
Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3670747.
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2012 | Published | Journal Article | IST-REx-ID: 2395 |

Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society. American Mathematical Society, 2012. https://doi.org/10.1090/S0894-0347-2012-00735-8.
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2012 | Published | Journal Article | IST-REx-ID: 2396 |

Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-012-0566-5.
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2012 | Published | Journal Article | IST-REx-ID: 2397 |

Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-011-0535-4.
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2012 | Published | Book Review | IST-REx-ID: 2398 |

Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026.
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2012 | Published | Book Chapter | IST-REx-ID: 2399
Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2.
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2012 | Published | Journal Article | IST-REx-ID: 2400 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1436-9.
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2012 | Published | Journal Article | IST-REx-ID: 2401 |

Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics. Springer, 2012. https://doi.org/10.1007/s10955-012-0585-8.
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2012 | Published | Journal Article | IST-REx-ID: 2402 |

Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3697416.
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2012 | Published | Journal Article | IST-REx-ID: 2403 |

Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment. IOP Publishing Ltd., 2012. https://doi.org/10.1088/1742-5468/2012/11/P11007.
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2011 | Published | Conference Paper | IST-REx-ID: 2320 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Binding, Stability, and Non-Binding of Multi-Polaron Systems,” 21–32. World Scientific Publishing, 2011. https://doi.org/10.1142/9789814350365_0002.
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2011 | Published | Conference Paper | IST-REx-ID: 2321 |

Frank, Rupert, Ari Laptev, and Robert Seiringer. “ A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials,” 214:39–44. Springer, 2011. https://doi.org/10.1007/978-3-7643-9994-8_3.
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2011 | Published | Journal Article | IST-REx-ID: 2390 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques. Springer, 2011. https://doi.org/10.1007/s10240-011-0031-5.
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2011 | Published | Journal Article | IST-REx-ID: 2391 |

Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters. American Physical Society, 2011. https://doi.org/10.1103/PhysRevLett.106.150402.
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2011 | Published | Journal Article | IST-REx-ID: 2393 |

Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics. Springer, 2011. https://doi.org/10.1007/s00220-011-1261-6.
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2010 | Published | Conference Paper | IST-REx-ID: 2322 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “ Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities,” 523–35. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0045 .
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2010 | Published | Conference Paper | IST-REx-ID: 2323 |

Seiringer, Robert. “Hot Topics on Cold Gases,” 231–45. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0013.
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2010 | Published | Book Chapter | IST-REx-ID: 2324 |

Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” In Around the Research of Vladimir Maz’ya I, 11:161–67. Springer, 2010. https://doi.org/10.1007/978-1-4419-1341-8_6.
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2010 | Published | Journal Article | IST-REx-ID: 2389 |

Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues of Schrödinger Type Operators with Degenerate Kinetic Energy.” Mathematische Nachrichten. Wiley-Blackwell, 2010. https://doi.org/10.1002/mana.200810195.
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2010 | Published | Journal Article | IST-REx-ID: 2392 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters. American Physical Society, 2010. https://doi.org/10.1103/PhysRevLett.104.210402.
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2009 | Published | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
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2009 | Published | Conference Paper | IST-REx-ID: 2330
Hainzl, Christian, and Robert Seiringer. “A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation,” 500:101–4. American Mathematical Society, 2009. https://doi.org/10.1090/conm/500/09823.
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2009 | Published | Journal Article | IST-REx-ID: 2384 |

Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” Journal of Statistical Physics. Springer, 2009. https://doi.org/10.1007/s10955-009-9718-0.
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2009 | Published | Journal Article | IST-REx-ID: 2385 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2009. https://doi.org/10.1103/PhysRevA.79.063626.
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2009 | Published | Journal Article | IST-REx-ID: 2386 |

Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2009. https://doi.org/10.1103/PhysRevB.80.014502.
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2009 | Published | Journal Article | IST-REx-ID: 2387 |

Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” Journal of Statistical Physics. Springer, 2009. https://doi.org/10.1007/s10955-009-9833-y.
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2009 | Published | Journal Article | IST-REx-ID: 2388 |

Predd, Joel, Robert Seiringer, Élliott Lieb, Daniel Osherson, Harold Poor, and Sanjeev Kulkarni. “Probabilistic Coherence and Proper Scoring Rules.” IEEE Transactions on Information Theory. IEEE, 2009. https://doi.org/10.1109/TIT.2009.2027573.
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2008 | Published | Conference Paper | IST-REx-ID: 2331 |

Hainzl, Christian, and Robert Seiringer. “ Spectral Properties of the BCS Gap Equation of Superfluidity,” 117–36. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0009.
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2008 | Published | Conference Paper | IST-REx-ID: 2332 |

Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” 241–54. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0017.
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2008 | Published | Journal Article | IST-REx-ID: 2374 |

Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s00220-008-0428-2.
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2008 | Published | Journal Article | IST-REx-ID: 2376 |

Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2008. https://doi.org/10.1103/PhysRevB.77.184517.
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2008 | Published | Journal Article | IST-REx-ID: 2377 |

Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.” Letters in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s11005-008-0242-y.
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2008 | Published | Journal Article | IST-REx-ID: 2378 |

Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” Journal of Statistical Physics. Springer, 2008. https://doi.org/10.1007/s10955-008-9527-x.
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2008 | Published | Journal Article | IST-REx-ID: 2379 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” Journal of the American Mathematical Society. American Mathematical Society, 2008. https://doi.org/10.1090/S0894-0347-07-00582-6.
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2008 | Published | Journal Article | IST-REx-ID: 2380 |

Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The BCS Functional for General Pair Interactions.” Communications in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s00220-008-0489-2.
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2008 | Published | Journal Article | IST-REx-ID: 2381 |

Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.” Journal of Functional Analysis. Academic Press, 2008. https://doi.org/10.1016/j.jfa.2008.05.015.
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2008 | Published | Journal Article | IST-REx-ID: 2382 |

Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.” Communications in Mathematical Physics. Springer, 2008. https://doi.org/10.1007/s00220-008-0521-6.
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2008 | Published | Journal Article | IST-REx-ID: 2383 |

Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics. World Scientific Publishing, 2008. https://doi.org/10.1142/S0129055X08003547.
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2007 | Published | Journal Article | IST-REx-ID: 2367 |

Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” Letters in Mathematical Physics. Springer, 2007. https://doi.org/10.1007/s11005-007-0159-x.
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2007 | Published | Journal Article | IST-REx-ID: 2370 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics. Elsevier, 2007. https://doi.org/10.1016/S0034-4877(07)80074-7.
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2007 | Published | Journal Article | IST-REx-ID: 2371 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” Communications in Mathematical Physics. Springer, 2007. https://doi.org/10.1007/s00220-007-0307-2.
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2007 | Published | Journal Article | IST-REx-ID: 2372 |

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2007. https://doi.org/10.1103/PhysRevA.76.052517.
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2007 | Published | Journal Article | IST-REx-ID: 2373 |

Frank, Rupert, Christian Hainzl, Serguei Naboko, and Robert Seiringer. “The Critical Temperature for the BCS Equation at Weak Coupling.” Journal of Geometric Analysis. Springer, 2007. https://doi.org/10.1007/BF02937429.
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2007 | Published | Journal Article | IST-REx-ID: 2375 |

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” Letters in Mathematical Physics. Springer, 2007. https://doi.org/10.1007/s11005-007-0211-x.
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2006 | Published | Conference Paper | IST-REx-ID: 2333 |

Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground-State Energy of a Dilute Fermi Gas,” 412:239–48. American Mathematical Society, 2006. https://doi.org/10.1090/conm/412.
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2006 | Published | Conference Paper | IST-REx-ID: 2334 |

Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps.” edited by Jean Zambrini. World Scientific Publishing, 2006. https://doi.org/10.1007/s00220-003-0993-3.
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2006 | Published | Book Review | IST-REx-ID: 2363 |

Lieb, Élliott, and Robert Seiringer. “Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases.” Communications in Mathematical Physics. Springer, 2006. https://doi.org/10.1007/s00220-006-1524-9.
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2006 | Published | Journal Article | IST-REx-ID: 2364 |

Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems at Positive Temperature.” Reviews in Mathematical Physics. World Scientific Publishing, 2006. https://doi.org/10.1142/S0129055X06002632.
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2006 | Published | Journal Article | IST-REx-ID: 2365 |

Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.” Communications in Mathematical Physics. Springer, 2006. https://doi.org/10.1007/s00220-005-1433-3.
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2006 | Published | Journal Article | IST-REx-ID: 2366 |

Frank, Rupert, Ari Laptev, Élliott Lieb, and Robert Seiringer. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.” Letters in Mathematical Physics. Springer, 2006. https://doi.org/10.1007/s11005-006-0095-1.
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2006 | Published | Book Chapter | IST-REx-ID: 2368
Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.” In Large Coulomb Systems, edited by Jan Dereziński and Heinz Siedentop, 695:249–74. Springer, 2006. https://doi.org/10.1007/3-540-32579-4_6.
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2006 | Published | Book Chapter | IST-REx-ID: 2369 |

Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.” In Mathematical Physics of Quantum Mechanics, edited by Joachim Asch and Alain Joye, 690:199–215. Springer, 2006. https://doi.org/10.1007/b11573432.
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2005 | Published | Book | IST-REx-ID: 2335 |

Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. The Mathematics of the Bose Gas and Its Condensation. Vol. 34. Basel ; Berlin: Birkhäuser Verlag, 2005. https://doi.org/10.1007/b137508.
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2005 | Published | Book Chapter | IST-REx-ID: 2336 |

Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.” In Perspectives in Analysis, edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler, 27:97–183. Springer, 2005. https://doi.org/10.1007/3-540-30434-7_9.
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2005 | Published | Journal Article | IST-REx-ID: 2359 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters. American Physical Society, 2005. https://doi.org/10.1103/PhysRevLett.94.080401.
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2005 | Published | Journal Article | IST-REx-ID: 2361 |

Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2005. https://doi.org/10.1103/PhysRevA.71.062329.
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2005 | Published | Journal Article | IST-REx-ID: 2362 |

Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2005. https://doi.org/10.1103/PhysRevA.71.053605.
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2004 | Published | Journal Article | IST-REx-ID: 2355 |

Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics. Springer, 2004. https://doi.org/10.1023/B:JOSS.0000019811.15510.27.
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2004 | Published | Journal Article | IST-REx-ID: 2356 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases.” Communications in Mathematical Physics. Springer, 2004. https://doi.org/10.1007/s00220-003-0993-3.
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2004 | Published | Journal Article | IST-REx-ID: 2360 |

Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2004. https://doi.org/10.1103/PhysRevA.70.023612.
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2003 | Published | Conference Paper | IST-REx-ID: 2337 |

Lieb, Élliott, and Robert Seiringer. “Bose-Einstein Condensation of Dilute Gases in Traps .” edited by Yulia Karpeshina, Rudi Weikard, and Yanni Zeng, 327:239–50. American Mathematical Society, 2003. https://doi.org/10.1090/conm/327/05818.
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2003 | Published | Journal Article | IST-REx-ID: 2354 |

Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd., 2003. https://doi.org/10.1088/0305-4470/36/37/312.
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2003 | Published | Journal Article | IST-REx-ID: 2357 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Poincaré Inequalities in Punctured Domains.” Annals of Mathematics. Princeton University Press, 2003. https://doi.org/10.4007/annals.2003.158.1067 .
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2003 | Published | Journal Article | IST-REx-ID: 2358 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Bosons in Three-Dimensional Traps.” Physical Review Letters. American Physical Society, 2003. https://doi.org/10.1103/PhysRevLett.91.150401.
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2002 | Published | Book Chapter | IST-REx-ID: 2338 |

Lieb, Élliott, Jan Solovej, Robert Seiringer, and Jakob Yngvason. “The Ground State of the Bose Gas.” In Current Developments in Mathematics, 2001, 131–78. International Press, 2002. https://doi.org/10.48550/arXiv.math-ph/0204027.
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2002 | Published | Conference Paper | IST-REx-ID: 2339
Seiringer, Robert. “Symmetry Breaking in a Model of a Rotating Bose Gas.” edited by Richardo Weder, Pavel Exner, and Benoit Grébert, 307:281–86. World Scientific Publishing, 2002. https://doi.org/10.1090/conm/307.
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2002 | Published | Journal Article | IST-REx-ID: 2349 |

Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation for Dilute Trapped Gases.” Physical Review Letters. American Physical Society, 2002. https://doi.org/10.1103/PhysRevLett.88.170409.
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2002 | Published | Journal Article | IST-REx-ID: 2350 |

Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy Level Shift in Non-Relativistic QED.” Advances in Theoretical and Mathematical Physics. International Press, 2002. https://doi.org/10.4310/ATMP.2002.v6.n5.a3.
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2002 | Published | Journal Article | IST-REx-ID: 2351 |

Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.” Communications in Mathematical Physics. Springer, 2002. https://doi.org/10.1007/s00220-002-0695-2.
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2002 | Published | Journal Article | IST-REx-ID: 2352 |

Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on ℝn and Applications to N-Body Quantum Systems.” Letters in Mathematical Physics. Springer, 2002. https://doi.org/10.1023/A:1020204818938.
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2002 | Published | Journal Article | IST-REx-ID: 2353 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2002. https://doi.org/10.1103/PhysRevB.66.134529.
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2001 | Published | Conference Paper | IST-REx-ID: 2340 |

Seiringer, Robert. “Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula.” edited by Michael Demuth and Bert Schultze, 126:307–14. Birkhäuser, 2001. https://doi.org/10.1007/978-3-0348-8231-6.
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2001 | Published | Journal Article | IST-REx-ID: 2341 |

Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic "Electrons" in Strong Magnetic Fields.” Annales Henri Poincare. Birkhäuser, 2001. https://doi.org/10.1007/PL00001032.
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2001 | Published | Journal Article | IST-REx-ID: 2345 |

Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” Journal of Physics A: Mathematical and General. IOP Publishing Ltd., 2001. https://doi.org/10.1088/0305-4470/34/9/311.
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2001 | Published | Journal Article | IST-REx-ID: 2346 |

Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.” Letters in Mathematical Physics. Springer, 2001. https://doi.org/10.1023/A:1010951905548.
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2001 | Published | Journal Article | IST-REx-ID: 2347 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas.” Communications in Mathematical Physics. Springer, 2001. https://doi.org/10.1007/s002200100533.
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2001 | Published | Journal Article | IST-REx-ID: 2348 |

Hainzl, Christian, and Robert Seiringer. “A Discrete Density Matrix Theory for Atoms in Strong Magnetic Fields.” Communications in Mathematical Physics. Springer, 2001. https://doi.org/10.1007/s002200100373.
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2000 | Published | Conference Paper | IST-REx-ID: 2325
Seiringer, Robert. “Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem ,” 529:53–72. American Mathematical Society, 2000. https://doi.org/10.1090/conm/529.
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2000 | Published | Conference Paper | IST-REx-ID: 2342 |

Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “The Ground State Energy and Density of Interacting Bosons in a Trap.” In Proceedings of the International Symposium on Quantum Theory and Symmetries, 101–10. World Scientific Publishing, 2000.
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2000 | Published | Journal Article | IST-REx-ID: 2343 |

Baumgartner, Bernhard, and Robert Seiringer. “On the Ordering of Energy Levels in Homogeneous Magnetic Fields.” Letters in Mathematical Physics. Springer, 2000. https://doi.org/ 10.1023/A:1010978807635.
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2000 | Published | Journal Article | IST-REx-ID: 2344 |

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2000. https://doi.org/10.1103/PhysRevA.61.043602.
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