168 Publications

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[168]
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 14931 | OA
Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[167]
2023 | Published | Journal Article | IST-REx-ID: 13178 | OA
Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[166]
2023 | Published | Journal Article | IST-REx-ID: 13207 | OA
Boundary superconductivity in the BCS model
C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[165]
2023 | Published | Journal Article | IST-REx-ID: 13225 | OA
Correlation energy of a weakly interacting Fermi gas with large interaction potential
N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[164]
2023 | Published | Journal Article | IST-REx-ID: 12183 | OA
The Bose Gas in a box with Neumann boundary conditions
C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[163]
2023 | Published | Journal Article | IST-REx-ID: 14254 | OA
A simple approach to Lieb-Thirring type inequalities
R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[162]
2023 | Published | Journal Article | IST-REx-ID: 14441 | OA
The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
[Published Version] View | Files available | DOI | arXiv
 
[161]
2023 | Published | Journal Article | IST-REx-ID: 14662 | OA
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling
R. Seiringer, Journal of Spectral Theory 13 (2023) 1045–1055.
View | Files available | DOI | arXiv
 
[160]
2023 | Published | Journal Article | IST-REx-ID: 14854
Ubiquity of bound states for the strongly coupled polaron
D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.
View | DOI
 
[159]
2023 | Published | Book Chapter | IST-REx-ID: 14992 | OA
Universal Functionals in Density Functional Theory
M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[158]
2022 | Published | Journal Article | IST-REx-ID: 12246 | OA
Improved Lieb–Oxford bound on the indirect and exchange energies
M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[157]
2022 | Published | Journal Article | IST-REx-ID: 11917 | OA
Large deviation estimates for weakly interacting bosons
S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
[Published Version] View | Files available | DOI | WoS
 
[156]
2022 | Published | Journal Article | IST-REx-ID: 10564 | OA
Polaron models with regular interactions at strong coupling
K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[155]
2022 | Published | Journal Article | IST-REx-ID: 10755 | OA
The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).
[Published Version] View | Files available | DOI | arXiv
 
[154]
2022 | Published | Journal Article | IST-REx-ID: 10850 | OA
Two-particle bound states at interfaces and corners
B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[153]
2021 | Published | Journal Article | IST-REx-ID: 7901 | OA
Correlation energy of a weakly interacting Fermi gas
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[152]
2021 | Published | Journal Article | IST-REx-ID: 8603 | OA
Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.
[Published Version] View | Files available | DOI | WoS
 
[151]
2021 | Published | Journal Article | IST-REx-ID: 14889 | OA
Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[150]
2021 | Published | Journal Article | IST-REx-ID: 9225 | OA
Persistence of the spectral gap for the Landau–Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version] View | Files available | DOI | WoS
 
[149]
2021 | Published | Journal Article | IST-REx-ID: 9246 | OA
Derivation of the Landau–Pekar equations in a many-body mean-field limit
N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[148]
2021 | Published | Journal Article | IST-REx-ID: 9256 | OA
Free energy asymptotics of the quantum Heisenberg spin chain
M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version] View | Files available | DOI | WoS
 
[147]
2021 | Published | Journal Article | IST-REx-ID: 9318 | OA
Asymptotic expansion of low-energy excitations for weakly interacting bosons
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
[Published Version] View | Files available | DOI | WoS
 
[146]
2021 | Published | Journal Article | IST-REx-ID: 9462 | OA
Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[145]
2021 | Submitted | Preprint | IST-REx-ID: 9787 | OA [Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[144]
2021 | Submitted | Preprint | IST-REx-ID: 9791 | OA
The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[143]
2021 | Published | Journal Article | IST-REx-ID: 10224 | OA
The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics
D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[142]
2021 | Published | Journal Article | IST-REx-ID: 10537 | OA
Bosonization of fermionic many-body dynamics
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[141]
2021 | Published | Journal Article | IST-REx-ID: 10738 | OA
The Landau–Pekar equations: Adiabatic theorem and accuracy
N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[140]
2021 | Published | Journal Article | IST-REx-ID: 10852 | OA
The polaron at strong coupling
R. Seiringer, Reviews in Mathematical Physics 33 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[139]
2020 | Published | Journal Article | IST-REx-ID: 7650 | OA
Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[138]
2020 | Published | Journal Article | IST-REx-ID: 7790 | OA
The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[137]
2020 | Published | Journal Article | IST-REx-ID: 8091 | OA
Emergence of Haldane pseudo-potentials in systems with short-range interactions
R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[136]
2020 | Published | Journal Article | IST-REx-ID: 8134 | OA
The free energy of the two-dimensional dilute Bose gas. II. Upper bound
S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[135]
2020 | Published | Journal Article | IST-REx-ID: 8705 | OA
Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[134]
2020 | Published | Journal Article | IST-REx-ID: 8769 | OA
Quantum impurity model for anyons
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[133]
2020 | Published | Journal Article | IST-REx-ID: 6649 | OA
Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[132]
2020 | Published | Journal Article | IST-REx-ID: 7235 | OA
Divergence of the effective mass of a polaron in the strong coupling limit
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
[Published Version] View | Files available | DOI | WoS
 
[131]
2020 | Published | Journal Article | IST-REx-ID: 14891 | OA
The local density approximation in density functional theory
M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[130]
2020 | Published | Journal Article | IST-REx-ID: 9781 | OA
Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[129]
2019 | Published | Journal Article | IST-REx-ID: 5856 | OA
Energy contribution of a point-interacting impurity in a Fermi gas
T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[128]
2019 | Published | Journal Article | IST-REx-ID: 80 | OA
Bose–Einstein condensation in a dilute, trapped gas at positive temperature
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
[Published Version] View | Files available | DOI | WoS
 
[127]
2019 | Published | Journal Article | IST-REx-ID: 7015 | OA
Floating Wigner crystal with no boundary charge fluctuations
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[126]
2019 | Published | Journal Article | IST-REx-ID: 7226 | OA
Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018
V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).
[Published Version] View | Files available | DOI | WoS
 
[125]
2019 | Draft | Preprint | IST-REx-ID: 7524 | OA
The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).
[Preprint] View | Files available | Download Preprint (ext.)
 
[124]
2018 | Published | Journal Article | IST-REx-ID: 295 | OA
Fermionic behavior of ideal anyons
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[123]
2018 | Published | Journal Article | IST-REx-ID: 154 | OA
Stability of the 2+2 fermionic system with point interactions
T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
[Published Version] View | Files available | DOI | WoS
 
[122]
2018 | Published | Journal Article | IST-REx-ID: 180 | OA
Statistical mechanics of the uniform electron gas
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
[Published Version] View | Files available | DOI | arXiv
 
[121]
2017 | Published | Journal Article | IST-REx-ID: 1120 | OA
Angular self-localization of impurities rotating in a bosonic bath
X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS
 
[120]
2017 | Published | Journal Article | IST-REx-ID: 1198 | OA
Triviality of a model of particles with point interactions in the thermodynamic limit
T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
[Published Version] View | Files available | DOI | WoS
 
[119]
2017 | Published | Journal Article | IST-REx-ID: 741 | OA
Stability of a fermionic N+1 particle system with point interactions
T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.
[Published Version] View | Files available | DOI | WoS
 
[118]
2016 | Published | Journal Article | IST-REx-ID: 1259 | OA
Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit
G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
[Published Version] View | Files available | DOI
 
[117]
2016 | Published | Journal Article | IST-REx-ID: 1291 | OA
Periodic striped ground states in Ising models with competing interactions
A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
[Published Version] View | Files available | DOI
 
[116]
2016 | Published | Journal Article | IST-REx-ID: 1143 | OA
Ground states of large bosonic systems: The gross Pitaevskii limit revisited
P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
[Preprint] View | DOI | Download Preprint (ext.)
 
[115]
2016 | Published | Journal Article | IST-REx-ID: 1422 | OA
Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations
R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
[Published Version] View | Files available | DOI
 
[114]
2016 | Published | Conference Paper | IST-REx-ID: 1428 | OA
Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.
[Published Version] View | Files available | DOI
 
[113]
2016 | Published | Journal Article | IST-REx-ID: 1478 | OA
Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
[Published Version] View | Files available | DOI
 
[112]
2016 | Published | Journal Article | IST-REx-ID: 1486 | OA
The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
[Preprint] View | DOI | Download Preprint (ext.)
 
[111]
2016 | Published | Journal Article | IST-REx-ID: 1620 | OA
The external field dependence of the BCS critical temperature
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[110]
2015 | Published | Journal Article | IST-REx-ID: 1572 | OA
Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
[Preprint] View | DOI | Download Preprint (ext.)
 
[109]
2015 | Published | Journal Article | IST-REx-ID: 1573 | OA
Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
[Preprint] View | DOI | Download Preprint (ext.)
 
[108]
2015 | Published | Journal Article | IST-REx-ID: 1704 | OA
Note on a family of monotone quantum relative entropies
A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
[Preprint] View | Files available | DOI | Download Preprint (ext.)
 
[107]
2015 | Published | Journal Article | IST-REx-ID: 1880 | OA
Superfluid behavior of a Bose-Einstein condensate in a random potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
[Published Version] View | Files available | DOI
 
[106]
2015 | Published | Journal Article | IST-REx-ID: 2085 | OA
Collective excitations of Bose gases in the mean-field regime
P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
[Preprint] View | DOI | Download Preprint (ext.)
 
[105]
2014 | Published | Conference Paper | IST-REx-ID: 8044 | OA
Structure of the excitation spectrum for many-body quantum systems
R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194.
[Published Version] View | Download Published Version (ext.)
 
[104]
2014 | Published | Conference Paper | IST-REx-ID: 1516 | OA
On the BCS gap equation for superfluid fermionic gases
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[103]
2014 | Published | Journal Article | IST-REx-ID: 1821 | OA
Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
R. Seiringer, Journal of Mathematical Physics 55 (2014).
[Submitted Version] View | Files available | DOI
 
[102]
2014 | Published | Journal Article | IST-REx-ID: 1822
Introduction
V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
View | DOI
 
[101]
2014 | Published | Journal Article | IST-REx-ID: 1889 | OA
Translation-invariant quasi-free states for fermionic systems and the BCS approximation
G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[100]
2014 | Published | Journal Article | IST-REx-ID: 1904 | OA
Strichartz inequality for orthonormal functions
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[99]
2014 | Published | Journal Article | IST-REx-ID: 1918 | OA
Existence of ground states for negative ions at the binding threshold
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[98]
2014 | Published | Journal Article | IST-REx-ID: 1935 | OA
Formation of stripes and slabs near the ferromagnetic transition
A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
[Published Version] View | Files available | DOI | arXiv
 
[97]
2014 | Published | Journal Article | IST-REx-ID: 2029 | OA
Validity of spin-wave theory for the quantum Heisenberg model
M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[96]
2014 | Published | Journal Article | IST-REx-ID: 2186 | OA
On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[95]
2014 | Published | Journal Article | IST-REx-ID: 2281 | OA
On the mass concentration for Bose-Einstein condensates with attractive interactions
Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[94]
2014 | Published | Journal Article | IST-REx-ID: 2407 | OA
Equivalence of two definitions of the effective mass of a polaron
É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[93]
2014 | Published | Journal Article | IST-REx-ID: 10814
The excitation spectrum for Bose fluids with weak interactions
R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41.
View | DOI
 
[92]
2013 | Published | Journal Article | IST-REx-ID: 2297 | OA
Hot topics in cold gases: A mathematical physics perspective
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[91]
2013 | Published | Journal Article | IST-REx-ID: 2300 | OA
Realization of stripes and slabs in two and three dimensions
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2013 | Published | Conference Paper | IST-REx-ID: 2315 | OA
Disordered Bose-Einstein condensates with interaction
R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
View | DOI | Download None (ext.) | arXiv
 
[89]
2013 | Published | Conference Paper | IST-REx-ID: 2319 | OA
Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
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[88]
2013 | Published | Journal Article | IST-REx-ID: 2404 | OA
A positive density analogue of the Lieb-Thirring inequality
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
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[87]
2013 | Published | Journal Article | IST-REx-ID: 2405 | OA
Symmetry of bipolaron bound states for small Coulomb repulsion
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
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[86]
2013 | Published | Journal Article | IST-REx-ID: 2406
Condensation of interacting bosons in a random potential
R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
View | DOI
 
[85]
2013 | Published | Journal Article | IST-REx-ID: 2408 | OA
The excitation spectrum for weakly interacting Bosons in a trap
P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
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[84]
2012 | Published | Conference Paper | IST-REx-ID: 2316 | OA
Ground state properties of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
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[83]
2012 | Published | Conference Paper | IST-REx-ID: 2317 | OA
Microscopic derivation of the Ginzburg-Landau model
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
View | DOI | Download (ext.)
 
[82]
2012 | Published | Journal Article | IST-REx-ID: 2318 | OA
Absence of bound states implies non-negativity of the scattering length
R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
[Preprint] View | DOI | Download Preprint (ext.)
 
[81]
2012 | Published | Journal Article | IST-REx-ID: 2394
The gap equation for spin-polarized fermions
A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
View | DOI
 
[80]
2012 | Published | Journal Article | IST-REx-ID: 2395 | OA
Microscopic derivation of Ginzburg-Landau theory
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
View | DOI | Download (ext.)
 
[79]
2012 | Published | Journal Article | IST-REx-ID: 2396 | OA
The scattering length at positive temperature
B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
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[78]
2012 | Published | Journal Article | IST-REx-ID: 2397 | OA
Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
View | DOI | Download (ext.)
 
[77]
2012 | Published | Book Review | IST-REx-ID: 2398 | OA
Quantum hypothesis testing and non-equilibrium statistical mechanics
V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
View | DOI | Download (ext.)
 
[76]
2012 | Published | Book Chapter | IST-REx-ID: 2399
Cold quantum gases and bose einstein condensation
R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
View | DOI
 
[75]
2012 | Published | Journal Article | IST-REx-ID: 2400 | OA
Binding of polarons and atoms at threshold
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
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[74]
2012 | Published | Journal Article | IST-REx-ID: 2401 | OA
Further implications of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
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[73]
2012 | Published | Journal Article | IST-REx-ID: 2402 | OA
Lieb-Thirring inequality for a model of particles with point interactions
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
View | DOI | Download (ext.)
 
[72]
2012 | Published | Journal Article | IST-REx-ID: 2403 | OA
Disordered Bose-Einstein condensates with interaction in one dimension
R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
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[71]
2011 | Published | Conference Paper | IST-REx-ID: 2320 | OA
Binding, stability, and non-binding of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
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[70]
2011 | Published | Conference Paper | IST-REx-ID: 2321 | OA
A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials
R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
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[69]
2011 | Published | Journal Article | IST-REx-ID: 2390 | OA
Stability and absence of binding for multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
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[68]
2011 | Published | Journal Article | IST-REx-ID: 2391 | OA
Energy cost to make a hole in the fermi sea
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
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[67]
2011 | Published | Journal Article | IST-REx-ID: 2393 | OA
The excitation spectrum for weakly interacting Bosons
R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
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[66]
2010 | Published | Conference Paper | IST-REx-ID: 2322 | OA
Equivalence of Sobolev inequalities and Lieb-Thirring inequalities
R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
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[65]
2010 | Published | Conference Paper | IST-REx-ID: 2323 | OA
Hot topics on cold gases
R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
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[64]
2010 | Published | Book Chapter | IST-REx-ID: 2324 | OA
Sharp fractional Hardy inequalities in half-spaces
R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
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[63]
2010 | Published | Journal Article | IST-REx-ID: 2389 | OA
Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy
C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
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[62]
2010 | Published | Journal Article | IST-REx-ID: 2392 | OA
Bipolaron and N-polaron binding energies
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
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[61]
2009 | Published | Book | IST-REx-ID: 2326
The Stability of Matter in Quantum Mechanics
É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
View | Download None (ext.)
 
[60]
2009 | Published | Conference Paper | IST-REx-ID: 2330
A linear criterion for solutions of non-linear equations, with application to the BCS gap equation
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
View | DOI
 
[59]
2009 | Published | Journal Article | IST-REx-ID: 2384 | OA
The ground state energy of the weakly interacting Bose gas at high density
A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
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[58]
2009 | Published | Journal Article | IST-REx-ID: 2385 | OA
Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
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[57]
2009 | Published | Journal Article | IST-REx-ID: 2386 | OA
Rigorous upper bound on the critical temperature of dilute Bose gases
R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
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[56]
2009 | Published | Journal Article | IST-REx-ID: 2387 | OA
Strongly correlated phases in rapidly rotating Bose gases
M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
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[55]
2009 | Published | Journal Article | IST-REx-ID: 2388 | OA
Probabilistic coherence and proper scoring rules
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
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[54]
2008 | Published | Conference Paper | IST-REx-ID: 2331 | OA
Spectral properties of the BCS gap equation of superfluidity
C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
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[53]
2008 | Published | Conference Paper | IST-REx-ID: 2332 | OA
Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
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[52]
2008 | Published | Journal Article | IST-REx-ID: 2374 | OA
Free energy of a dilute Bose gas: Lower bound
R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
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[51]
2008 | Published | Journal Article | IST-REx-ID: 2376 | OA
Critical temperature and energy gap for the BCS equation
C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
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[50]
2008 | Published | Journal Article | IST-REx-ID: 2377 | OA
The BCS critical temperature for potentials with negative scattering length
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
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[49]
2008 | Published | Journal Article | IST-REx-ID: 2378 | OA
Ground state energy of the low density hubbard model
R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
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[48]
2008 | Published | Journal Article | IST-REx-ID: 2379 | OA
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
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[47]
2008 | Published | Journal Article | IST-REx-ID: 2380 | OA
The BCS functional for general pair interactions
C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
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[46]
2008 | Published | Journal Article | IST-REx-ID: 2381 | OA
Non-linear ground state representations and sharp Hardy inequalities
R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
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[45]
2008 | Published | Journal Article | IST-REx-ID: 2382 | OA
The Lieb-Liniger model as a limit of dilute bosons in three dimensions
R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
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[44]
2008 | Published | Journal Article | IST-REx-ID: 2383 | OA
A nonlinear model for relativistic electrons at positive temperature
C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
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[43]
2007 | Published | Journal Article | IST-REx-ID: 2367 | OA
On the failure of subadditivity of the Wigner-Yanase entropy
R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
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[42]
2007 | Published | Journal Article | IST-REx-ID: 2370 | OA
Bose-Einstein condensation and spontaneous symmetry breaking
É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
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[41]
2007 | Published | Journal Article | IST-REx-ID: 2371 | OA
Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
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[40]
2007 | Published | Journal Article | IST-REx-ID: 2372 | OA
Müller's exchange-correlation energy in density-matrix-functional theory
R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
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[39]
2007 | Published | Journal Article | IST-REx-ID: 2373 | OA
The critical temperature for the BCS equation at weak coupling
R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
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[38]
2007 | Published | Journal Article | IST-REx-ID: 2375 | OA
Number of bound states of Schrödinger operators with matrix-valued potentials
R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
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[37]
2006 | Published | Conference Paper | IST-REx-ID: 2333 | OA
Ground-state energy of a dilute Fermi gas
É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
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[36]
2006 | Published | Conference Paper | IST-REx-ID: 2334 | OA
One-dimensional behavior of dilute, trapped Bose gases in traps
R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
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[35]
2006 | Published | Book Review | IST-REx-ID: 2363 | OA
Derivation of the Gross-Pitaevskii equation for rotating Bose gases
É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
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[34]
2006 | Published | Journal Article | IST-REx-ID: 2364 | OA
A correlation estimate for quantum many-body systems at positive temperature
R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
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[33]
2006 | Published | Journal Article | IST-REx-ID: 2365 | OA
The thermodynamic pressure of a dilute fermi gas
R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
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[32]
2006 | Published | Journal Article | IST-REx-ID: 2366 | OA
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
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[31]
2006 | Published | Book Chapter | IST-REx-ID: 2368
Dilute, trapped Bose gases and Bose-Einstein condensation
R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
View | DOI
 
[30]
2006 | Published | Book Chapter | IST-REx-ID: 2369 | OA
Bose-Einstein condensation as a quantum phase transition in an optical lattice
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
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[29]
2005 | Published | Book | IST-REx-ID: 2335 | OA
The Mathematics of the Bose gas and its Condensation
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[28]
2005 | Published | Book Chapter | IST-REx-ID: 2336 | OA
The quantum-mechanical many-body problem: The Bose gas
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
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[27]
2005 | Published | Journal Article | IST-REx-ID: 2359 | OA
Justification of c-number substitutions in bosonic hamiltonians
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
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[26]
2005 | Published | Journal Article | IST-REx-ID: 2361 | OA
Stronger subadditivity of entropy
É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
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[25]
2005 | Published | Journal Article | IST-REx-ID: 2362 | OA
Ground state energy of the low density Fermi gas
É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
View | DOI | Download (ext.)
 
[24]
2004 | Published | Journal Article | IST-REx-ID: 2355 | OA
Equivalent forms of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
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[23]
2004 | Published | Journal Article | IST-REx-ID: 2356 | OA
One-dimensional behavior of dilute, trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
View | DOI | Download (ext.)
 
[22]
2004 | Published | Journal Article | IST-REx-ID: 2360 | OA
Bose-Einstein quantum phase transition in an optical lattice model
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
View | DOI | Download (ext.)
 
[21]
2003 | Published | Conference Paper | IST-REx-ID: 2337 | OA
Bose-Einstein condensation of dilute gases in traps
É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
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[20]
2003 | Published | Journal Article | IST-REx-ID: 2354 | OA
Ground state asymptotics of a dilute, rotating gas
R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
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[19]
2003 | Published | Journal Article | IST-REx-ID: 2357 | OA
Poincaré inequalities in punctured domains
É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
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[18]
2003 | Published | Journal Article | IST-REx-ID: 2358 | OA
One-dimensional Bosons in three-dimensional traps
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
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[17]
2002 | Published | Book Chapter | IST-REx-ID: 2338 | OA
The ground state of the Bose gas
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[16]
2002 | Published | Conference Paper | IST-REx-ID: 2339
Symmetry breaking in a model of a rotating Bose gas
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
View | DOI
 
[15]
2002 | Published | Journal Article | IST-REx-ID: 2349 | OA
Proof of Bose-Einstein condensation for dilute trapped gases
É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
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[14]
2002 | Published | Journal Article | IST-REx-ID: 2350 | OA
Mass renormalization and energy level shift in non-relativistic QED
C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[13]
2002 | Published | Journal Article | IST-REx-ID: 2351 | OA
Gross-Pitaevskii theory of the rotating Bose gas
R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
View | DOI | Download (ext.)
 
[12]
2002 | Published | Journal Article | IST-REx-ID: 2352 | OA
General decomposition of radial functions on ℝn and applications to N-body quantum systems
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
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[11]
2002 | Published | Journal Article | IST-REx-ID: 2353 | OA
Superfluidity in dilute trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
View | DOI | Download None (ext.) | arXiv
 
[10]
2001 | Published | Conference Paper | IST-REx-ID: 2340 | OA
Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula
R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
View | DOI | Download None (ext.) | arXiv
 
[9]
2001 | Published | Journal Article | IST-REx-ID: 2341 | OA
Atoms with bosonic "electrons" in strong magnetic fields
B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
View | DOI | Download None (ext.) | arXiv
 
[8]
2001 | Published | Journal Article | IST-REx-ID: 2345 | OA
On the maximal ionization of atoms in strong magnetic fields
R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
View | DOI | Download None (ext.) | arXiv
 
[7]
2001 | Published | Journal Article | IST-REx-ID: 2346 | OA
Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[6]
2001 | Published | Journal Article | IST-REx-ID: 2347 | OA
A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[5]
2001 | Published | Journal Article | IST-REx-ID: 2348 | OA
A discrete density matrix theory for atoms in strong magnetic fields
C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2000 | Published | Conference Paper | IST-REx-ID: 2325
Inequalities for Schrödinger operators and applications to the stability of matter problem
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
View | DOI
 
[3]
2000 | Published | Conference Paper | IST-REx-ID: 2342 | OA
The ground state energy and density of interacting bosons in a trap
R. Seiringer, É. Lieb, J. Yngvason, in:, Proceedings of the International Symposium on Quantum Theory and Symmetries, World Scientific Publishing, 2000, pp. 101–110.
View | Download None (ext.) | arXiv
 
[2]
2000 | Published | Journal Article | IST-REx-ID: 2343 | OA
On the ordering of energy levels in homogeneous magnetic fields
B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
View | DOI | Download (ext.)
 
[1]
2000 | Published | Journal Article | IST-REx-ID: 2344 | OA
Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

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[168]
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 14931 | OA
Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[167]
2023 | Published | Journal Article | IST-REx-ID: 13178 | OA
Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[166]
2023 | Published | Journal Article | IST-REx-ID: 13207 | OA
Boundary superconductivity in the BCS model
C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[165]
2023 | Published | Journal Article | IST-REx-ID: 13225 | OA
Correlation energy of a weakly interacting Fermi gas with large interaction potential
N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[164]
2023 | Published | Journal Article | IST-REx-ID: 12183 | OA
The Bose Gas in a box with Neumann boundary conditions
C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[163]
2023 | Published | Journal Article | IST-REx-ID: 14254 | OA
A simple approach to Lieb-Thirring type inequalities
R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[162]
2023 | Published | Journal Article | IST-REx-ID: 14441 | OA
The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
[Published Version] View | Files available | DOI | arXiv
 
[161]
2023 | Published | Journal Article | IST-REx-ID: 14662 | OA
Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling
R. Seiringer, Journal of Spectral Theory 13 (2023) 1045–1055.
View | Files available | DOI | arXiv
 
[160]
2023 | Published | Journal Article | IST-REx-ID: 14854
Ubiquity of bound states for the strongly coupled polaron
D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.
View | DOI
 
[159]
2023 | Published | Book Chapter | IST-REx-ID: 14992 | OA
Universal Functionals in Density Functional Theory
M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[158]
2022 | Published | Journal Article | IST-REx-ID: 12246 | OA
Improved Lieb–Oxford bound on the indirect and exchange energies
M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[157]
2022 | Published | Journal Article | IST-REx-ID: 11917 | OA
Large deviation estimates for weakly interacting bosons
S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
[Published Version] View | Files available | DOI | WoS
 
[156]
2022 | Published | Journal Article | IST-REx-ID: 10564 | OA
Polaron models with regular interactions at strong coupling
K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[155]
2022 | Published | Journal Article | IST-REx-ID: 10755 | OA
The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).
[Published Version] View | Files available | DOI | arXiv
 
[154]
2022 | Published | Journal Article | IST-REx-ID: 10850 | OA
Two-particle bound states at interfaces and corners
B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[153]
2021 | Published | Journal Article | IST-REx-ID: 7901 | OA
Correlation energy of a weakly interacting Fermi gas
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[152]
2021 | Published | Journal Article | IST-REx-ID: 8603 | OA
Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.
[Published Version] View | Files available | DOI | WoS
 
[151]
2021 | Published | Journal Article | IST-REx-ID: 14889 | OA
Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[150]
2021 | Published | Journal Article | IST-REx-ID: 9225 | OA
Persistence of the spectral gap for the Landau–Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version] View | Files available | DOI | WoS
 
[149]
2021 | Published | Journal Article | IST-REx-ID: 9246 | OA
Derivation of the Landau–Pekar equations in a many-body mean-field limit
N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[148]
2021 | Published | Journal Article | IST-REx-ID: 9256 | OA
Free energy asymptotics of the quantum Heisenberg spin chain
M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version] View | Files available | DOI | WoS
 
[147]
2021 | Published | Journal Article | IST-REx-ID: 9318 | OA
Asymptotic expansion of low-energy excitations for weakly interacting bosons
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
[Published Version] View | Files available | DOI | WoS
 
[146]
2021 | Published | Journal Article | IST-REx-ID: 9462 | OA
Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[145]
2021 | Submitted | Preprint | IST-REx-ID: 9787 | OA [Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[144]
2021 | Submitted | Preprint | IST-REx-ID: 9791 | OA
The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[143]
2021 | Published | Journal Article | IST-REx-ID: 10224 | OA
The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics
D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[142]
2021 | Published | Journal Article | IST-REx-ID: 10537 | OA
Bosonization of fermionic many-body dynamics
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[141]
2021 | Published | Journal Article | IST-REx-ID: 10738 | OA
The Landau–Pekar equations: Adiabatic theorem and accuracy
N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[140]
2021 | Published | Journal Article | IST-REx-ID: 10852 | OA
The polaron at strong coupling
R. Seiringer, Reviews in Mathematical Physics 33 (2021).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[139]
2020 | Published | Journal Article | IST-REx-ID: 7650 | OA
Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[138]
2020 | Published | Journal Article | IST-REx-ID: 7790 | OA
The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[137]
2020 | Published | Journal Article | IST-REx-ID: 8091 | OA
Emergence of Haldane pseudo-potentials in systems with short-range interactions
R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[136]
2020 | Published | Journal Article | IST-REx-ID: 8134 | OA
The free energy of the two-dimensional dilute Bose gas. II. Upper bound
S. Mayer, R. Seiringer, Journal of Mathematical Physics 61 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[135]
2020 | Published | Journal Article | IST-REx-ID: 8705 | OA
Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[134]
2020 | Published | Journal Article | IST-REx-ID: 8769 | OA
Quantum impurity model for anyons
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[133]
2020 | Published | Journal Article | IST-REx-ID: 6649 | OA
Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[132]
2020 | Published | Journal Article | IST-REx-ID: 7235 | OA
Divergence of the effective mass of a polaron in the strong coupling limit
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
[Published Version] View | Files available | DOI | WoS
 
[131]
2020 | Published | Journal Article | IST-REx-ID: 14891 | OA
The local density approximation in density functional theory
M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[130]
2020 | Published | Journal Article | IST-REx-ID: 9781 | OA
Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
D. Feliciangeli, R. Seiringer, SIAM Journal on Mathematical Analysis 52 (2020) 605–622.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[129]
2019 | Published | Journal Article | IST-REx-ID: 5856 | OA
Energy contribution of a point-interacting impurity in a Fermi gas
T. Moser, R. Seiringer, Annales Henri Poincare 20 (2019) 1325–1365.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[128]
2019 | Published | Journal Article | IST-REx-ID: 80 | OA
Bose–Einstein condensation in a dilute, trapped gas at positive temperature
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
[Published Version] View | Files available | DOI | WoS
 
[127]
2019 | Published | Journal Article | IST-REx-ID: 7015 | OA
Floating Wigner crystal with no boundary charge fluctuations
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[126]
2019 | Published | Journal Article | IST-REx-ID: 7226 | OA
Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018
V. Jaksic, R. Seiringer, Journal of Mathematical Physics 60 (2019).
[Published Version] View | Files available | DOI | WoS
 
[125]
2019 | Draft | Preprint | IST-REx-ID: 7524 | OA
The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, ArXiv:1910.03372 (n.d.).
[Preprint] View | Files available | Download Preprint (ext.)
 
[124]
2018 | Published | Journal Article | IST-REx-ID: 295 | OA
Fermionic behavior of ideal anyons
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[123]
2018 | Published | Journal Article | IST-REx-ID: 154 | OA
Stability of the 2+2 fermionic system with point interactions
T. Moser, R. Seiringer, Mathematical Physics Analysis and Geometry 21 (2018).
[Published Version] View | Files available | DOI | WoS
 
[122]
2018 | Published | Journal Article | IST-REx-ID: 180 | OA
Statistical mechanics of the uniform electron gas
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
[Published Version] View | Files available | DOI | arXiv
 
[121]
2017 | Published | Journal Article | IST-REx-ID: 1120 | OA
Angular self-localization of impurities rotating in a bosonic bath
X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS
 
[120]
2017 | Published | Journal Article | IST-REx-ID: 1198 | OA
Triviality of a model of particles with point interactions in the thermodynamic limit
T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
[Published Version] View | Files available | DOI | WoS
 
[119]
2017 | Published | Journal Article | IST-REx-ID: 741 | OA
Stability of a fermionic N+1 particle system with point interactions
T. Moser, R. Seiringer, Communications in Mathematical Physics 356 (2017) 329–355.
[Published Version] View | Files available | DOI | WoS
 
[118]
2016 | Published | Journal Article | IST-REx-ID: 1259 | OA
Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit
G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
[Published Version] View | Files available | DOI
 
[117]
2016 | Published | Journal Article | IST-REx-ID: 1291 | OA
Periodic striped ground states in Ising models with competing interactions
A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
[Published Version] View | Files available | DOI
 
[116]
2016 | Published | Journal Article | IST-REx-ID: 1143 | OA
Ground states of large bosonic systems: The gross Pitaevskii limit revisited
P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
[Preprint] View | DOI | Download Preprint (ext.)
 
[115]
2016 | Published | Journal Article | IST-REx-ID: 1422 | OA
Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations
R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
[Published Version] View | Files available | DOI
 
[114]
2016 | Published | Conference Paper | IST-REx-ID: 1428 | OA
Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing Ltd., 2016.
[Published Version] View | Files available | DOI
 
[113]
2016 | Published | Journal Article | IST-REx-ID: 1478 | OA
Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
[Published Version] View | Files available | DOI
 
[112]
2016 | Published | Journal Article | IST-REx-ID: 1486 | OA
The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
[Preprint] View | DOI | Download Preprint (ext.)
 
[111]
2016 | Published | Journal Article | IST-REx-ID: 1620 | OA
The external field dependence of the BCS critical temperature
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[110]
2015 | Published | Journal Article | IST-REx-ID: 1572 | OA
Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
[Preprint] View | DOI | Download Preprint (ext.)
 
[109]
2015 | Published | Journal Article | IST-REx-ID: 1573 | OA
Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
[Preprint] View | DOI | Download Preprint (ext.)
 
[108]
2015 | Published | Journal Article | IST-REx-ID: 1704 | OA
Note on a family of monotone quantum relative entropies
A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
[Preprint] View | Files available | DOI | Download Preprint (ext.)
 
[107]
2015 | Published | Journal Article | IST-REx-ID: 1880 | OA
Superfluid behavior of a Bose-Einstein condensate in a random potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
[Published Version] View | Files available | DOI
 
[106]
2015 | Published | Journal Article | IST-REx-ID: 2085 | OA
Collective excitations of Bose gases in the mean-field regime
P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
[Preprint] View | DOI | Download Preprint (ext.)
 
[105]
2014 | Published | Conference Paper | IST-REx-ID: 8044 | OA
Structure of the excitation spectrum for many-body quantum systems
R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194.
[Published Version] View | Download Published Version (ext.)
 
[104]
2014 | Published | Conference Paper | IST-REx-ID: 1516 | OA
On the BCS gap equation for superfluid fermionic gases
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[103]
2014 | Published | Journal Article | IST-REx-ID: 1821 | OA
Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
R. Seiringer, Journal of Mathematical Physics 55 (2014).
[Submitted Version] View | Files available | DOI
 
[102]
2014 | Published | Journal Article | IST-REx-ID: 1822
Introduction
V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
View | DOI
 
[101]
2014 | Published | Journal Article | IST-REx-ID: 1889 | OA
Translation-invariant quasi-free states for fermionic systems and the BCS approximation
G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[100]
2014 | Published | Journal Article | IST-REx-ID: 1904 | OA
Strichartz inequality for orthonormal functions
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[99]
2014 | Published | Journal Article | IST-REx-ID: 1918 | OA
Existence of ground states for negative ions at the binding threshold
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[98]
2014 | Published | Journal Article | IST-REx-ID: 1935 | OA
Formation of stripes and slabs near the ferromagnetic transition
A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
[Published Version] View | Files available | DOI | arXiv
 
[97]
2014 | Published | Journal Article | IST-REx-ID: 2029 | OA
Validity of spin-wave theory for the quantum Heisenberg model
M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[96]
2014 | Published | Journal Article | IST-REx-ID: 2186 | OA
On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[95]
2014 | Published | Journal Article | IST-REx-ID: 2281 | OA
On the mass concentration for Bose-Einstein condensates with attractive interactions
Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[94]
2014 | Published | Journal Article | IST-REx-ID: 2407 | OA
Equivalence of two definitions of the effective mass of a polaron
É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[93]
2014 | Published | Journal Article | IST-REx-ID: 10814
The excitation spectrum for Bose fluids with weak interactions
R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41.
View | DOI
 
[92]
2013 | Published | Journal Article | IST-REx-ID: 2297 | OA
Hot topics in cold gases: A mathematical physics perspective
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[91]
2013 | Published | Journal Article | IST-REx-ID: 2300 | OA
Realization of stripes and slabs in two and three dimensions
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2013 | Published | Conference Paper | IST-REx-ID: 2315 | OA
Disordered Bose-Einstein condensates with interaction
R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
View | DOI | Download None (ext.) | arXiv
 
[89]
2013 | Published | Conference Paper | IST-REx-ID: 2319 | OA
Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
View | DOI | Download (ext.)
 
[88]
2013 | Published | Journal Article | IST-REx-ID: 2404 | OA
A positive density analogue of the Lieb-Thirring inequality
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
View | DOI | Download (ext.)
 
[87]
2013 | Published | Journal Article | IST-REx-ID: 2405 | OA
Symmetry of bipolaron bound states for small Coulomb repulsion
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
View | DOI | Download (ext.)
 
[86]
2013 | Published | Journal Article | IST-REx-ID: 2406
Condensation of interacting bosons in a random potential
R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
View | DOI
 
[85]
2013 | Published | Journal Article | IST-REx-ID: 2408 | OA
The excitation spectrum for weakly interacting Bosons in a trap
P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
View | DOI | Download (ext.)
 
[84]
2012 | Published | Conference Paper | IST-REx-ID: 2316 | OA
Ground state properties of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
View | DOI | Download (ext.)
 
[83]
2012 | Published | Conference Paper | IST-REx-ID: 2317 | OA
Microscopic derivation of the Ginzburg-Landau model
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
View | DOI | Download (ext.)
 
[82]
2012 | Published | Journal Article | IST-REx-ID: 2318 | OA
Absence of bound states implies non-negativity of the scattering length
R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
[Preprint] View | DOI | Download Preprint (ext.)
 
[81]
2012 | Published | Journal Article | IST-REx-ID: 2394
The gap equation for spin-polarized fermions
A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
View | DOI
 
[80]
2012 | Published | Journal Article | IST-REx-ID: 2395 | OA
Microscopic derivation of Ginzburg-Landau theory
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
View | DOI | Download (ext.)
 
[79]
2012 | Published | Journal Article | IST-REx-ID: 2396 | OA
The scattering length at positive temperature
B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
View | DOI | Download (ext.)
 
[78]
2012 | Published | Journal Article | IST-REx-ID: 2397 | OA
Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
View | DOI | Download (ext.)
 
[77]
2012 | Published | Book Review | IST-REx-ID: 2398 | OA
Quantum hypothesis testing and non-equilibrium statistical mechanics
V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
View | DOI | Download (ext.)
 
[76]
2012 | Published | Book Chapter | IST-REx-ID: 2399
Cold quantum gases and bose einstein condensation
R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
View | DOI
 
[75]
2012 | Published | Journal Article | IST-REx-ID: 2400 | OA
Binding of polarons and atoms at threshold
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
View | DOI | Download (ext.)
 
[74]
2012 | Published | Journal Article | IST-REx-ID: 2401 | OA
Further implications of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
View | DOI | Download (ext.)
 
[73]
2012 | Published | Journal Article | IST-REx-ID: 2402 | OA
Lieb-Thirring inequality for a model of particles with point interactions
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
View | DOI | Download (ext.)
 
[72]
2012 | Published | Journal Article | IST-REx-ID: 2403 | OA
Disordered Bose-Einstein condensates with interaction in one dimension
R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
View | DOI | Download (ext.)
 
[71]
2011 | Published | Conference Paper | IST-REx-ID: 2320 | OA
Binding, stability, and non-binding of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
View | DOI | Download (ext.)
 
[70]
2011 | Published | Conference Paper | IST-REx-ID: 2321 | OA
A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials
R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
View | DOI | Download (ext.)
 
[69]
2011 | Published | Journal Article | IST-REx-ID: 2390 | OA
Stability and absence of binding for multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
View | DOI | Download (ext.)
 
[68]
2011 | Published | Journal Article | IST-REx-ID: 2391 | OA
Energy cost to make a hole in the fermi sea
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
View | DOI | Download (ext.)
 
[67]
2011 | Published | Journal Article | IST-REx-ID: 2393 | OA
The excitation spectrum for weakly interacting Bosons
R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
View | DOI | Download (ext.)
 
[66]
2010 | Published | Conference Paper | IST-REx-ID: 2322 | OA
Equivalence of Sobolev inequalities and Lieb-Thirring inequalities
R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
View | DOI | Download (ext.)
 
[65]
2010 | Published | Conference Paper | IST-REx-ID: 2323 | OA
Hot topics on cold gases
R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
View | DOI | Download (ext.)
 
[64]
2010 | Published | Book Chapter | IST-REx-ID: 2324 | OA
Sharp fractional Hardy inequalities in half-spaces
R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
View | DOI | Download (ext.)
 
[63]
2010 | Published | Journal Article | IST-REx-ID: 2389 | OA
Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy
C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
View | DOI | Download (ext.)
 
[62]
2010 | Published | Journal Article | IST-REx-ID: 2392 | OA
Bipolaron and N-polaron binding energies
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
View | DOI | Download (ext.)
 
[61]
2009 | Published | Book | IST-REx-ID: 2326
The Stability of Matter in Quantum Mechanics
É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
View | Download None (ext.)
 
[60]
2009 | Published | Conference Paper | IST-REx-ID: 2330
A linear criterion for solutions of non-linear equations, with application to the BCS gap equation
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
View | DOI
 
[59]
2009 | Published | Journal Article | IST-REx-ID: 2384 | OA
The ground state energy of the weakly interacting Bose gas at high density
A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
View | DOI | Download (ext.)
 
[58]
2009 | Published | Journal Article | IST-REx-ID: 2385 | OA
Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
View | DOI | Download (ext.)
 
[57]
2009 | Published | Journal Article | IST-REx-ID: 2386 | OA
Rigorous upper bound on the critical temperature of dilute Bose gases
R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
View | DOI | Download (ext.)
 
[56]
2009 | Published | Journal Article | IST-REx-ID: 2387 | OA
Strongly correlated phases in rapidly rotating Bose gases
M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
View | DOI | Download (ext.)
 
[55]
2009 | Published | Journal Article | IST-REx-ID: 2388 | OA
Probabilistic coherence and proper scoring rules
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
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[54]
2008 | Published | Conference Paper | IST-REx-ID: 2331 | OA
Spectral properties of the BCS gap equation of superfluidity
C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
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[53]
2008 | Published | Conference Paper | IST-REx-ID: 2332 | OA
Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
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[52]
2008 | Published | Journal Article | IST-REx-ID: 2374 | OA
Free energy of a dilute Bose gas: Lower bound
R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
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[51]
2008 | Published | Journal Article | IST-REx-ID: 2376 | OA
Critical temperature and energy gap for the BCS equation
C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
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[50]
2008 | Published | Journal Article | IST-REx-ID: 2377 | OA
The BCS critical temperature for potentials with negative scattering length
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
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[49]
2008 | Published | Journal Article | IST-REx-ID: 2378 | OA
Ground state energy of the low density hubbard model
R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
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[48]
2008 | Published | Journal Article | IST-REx-ID: 2379 | OA
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
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[47]
2008 | Published | Journal Article | IST-REx-ID: 2380 | OA
The BCS functional for general pair interactions
C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
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[46]
2008 | Published | Journal Article | IST-REx-ID: 2381 | OA
Non-linear ground state representations and sharp Hardy inequalities
R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
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[45]
2008 | Published | Journal Article | IST-REx-ID: 2382 | OA
The Lieb-Liniger model as a limit of dilute bosons in three dimensions
R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
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[44]
2008 | Published | Journal Article | IST-REx-ID: 2383 | OA
A nonlinear model for relativistic electrons at positive temperature
C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
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[43]
2007 | Published | Journal Article | IST-REx-ID: 2367 | OA
On the failure of subadditivity of the Wigner-Yanase entropy
R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
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[42]
2007 | Published | Journal Article | IST-REx-ID: 2370 | OA
Bose-Einstein condensation and spontaneous symmetry breaking
É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
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[41]
2007 | Published | Journal Article | IST-REx-ID: 2371 | OA
Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
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[40]
2007 | Published | Journal Article | IST-REx-ID: 2372 | OA
Müller's exchange-correlation energy in density-matrix-functional theory
R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
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[39]
2007 | Published | Journal Article | IST-REx-ID: 2373 | OA
The critical temperature for the BCS equation at weak coupling
R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
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[38]
2007 | Published | Journal Article | IST-REx-ID: 2375 | OA
Number of bound states of Schrödinger operators with matrix-valued potentials
R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
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[37]
2006 | Published | Conference Paper | IST-REx-ID: 2333 | OA
Ground-state energy of a dilute Fermi gas
É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
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[36]
2006 | Published | Conference Paper | IST-REx-ID: 2334 | OA
One-dimensional behavior of dilute, trapped Bose gases in traps
R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
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[35]
2006 | Published | Book Review | IST-REx-ID: 2363 | OA
Derivation of the Gross-Pitaevskii equation for rotating Bose gases
É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
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[34]
2006 | Published | Journal Article | IST-REx-ID: 2364 | OA
A correlation estimate for quantum many-body systems at positive temperature
R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
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[33]
2006 | Published | Journal Article | IST-REx-ID: 2365 | OA
The thermodynamic pressure of a dilute fermi gas
R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
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[32]
2006 | Published | Journal Article | IST-REx-ID: 2366 | OA
Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
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[31]
2006 | Published | Book Chapter | IST-REx-ID: 2368
Dilute, trapped Bose gases and Bose-Einstein condensation
R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
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[30]
2006 | Published | Book Chapter | IST-REx-ID: 2369 | OA
Bose-Einstein condensation as a quantum phase transition in an optical lattice
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
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[29]
2005 | Published | Book | IST-REx-ID: 2335 | OA
The Mathematics of the Bose gas and its Condensation
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[28]
2005 | Published | Book Chapter | IST-REx-ID: 2336 | OA
The quantum-mechanical many-body problem: The Bose gas
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
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[27]
2005 | Published | Journal Article | IST-REx-ID: 2359 | OA
Justification of c-number substitutions in bosonic hamiltonians
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
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[26]
2005 | Published | Journal Article | IST-REx-ID: 2361 | OA
Stronger subadditivity of entropy
É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
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[25]
2005 | Published | Journal Article | IST-REx-ID: 2362 | OA
Ground state energy of the low density Fermi gas
É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
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[24]
2004 | Published | Journal Article | IST-REx-ID: 2355 | OA
Equivalent forms of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
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[23]
2004 | Published | Journal Article | IST-REx-ID: 2356 | OA
One-dimensional behavior of dilute, trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
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[22]
2004 | Published | Journal Article | IST-REx-ID: 2360 | OA
Bose-Einstein quantum phase transition in an optical lattice model
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
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[21]
2003 | Published | Conference Paper | IST-REx-ID: 2337 | OA
Bose-Einstein condensation of dilute gases in traps
É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
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[20]
2003 | Published | Journal Article | IST-REx-ID: 2354 | OA
Ground state asymptotics of a dilute, rotating gas
R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
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[19]
2003 | Published | Journal Article | IST-REx-ID: 2357 | OA
Poincaré inequalities in punctured domains
É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
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[18]
2003 | Published | Journal Article | IST-REx-ID: 2358 | OA
One-dimensional Bosons in three-dimensional traps
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
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[17]
2002 | Published | Book Chapter | IST-REx-ID: 2338 | OA
The ground state of the Bose gas
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[16]
2002 | Published | Conference Paper | IST-REx-ID: 2339
Symmetry breaking in a model of a rotating Bose gas
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
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[15]
2002 | Published | Journal Article | IST-REx-ID: 2349 | OA
Proof of Bose-Einstein condensation for dilute trapped gases
É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
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[14]
2002 | Published | Journal Article | IST-REx-ID: 2350 | OA
Mass renormalization and energy level shift in non-relativistic QED
C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[13]
2002 | Published | Journal Article | IST-REx-ID: 2351 | OA
Gross-Pitaevskii theory of the rotating Bose gas
R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
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[12]
2002 | Published | Journal Article | IST-REx-ID: 2352 | OA
General decomposition of radial functions on ℝn and applications to N-body quantum systems
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
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[11]
2002 | Published | Journal Article | IST-REx-ID: 2353 | OA
Superfluidity in dilute trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
View | DOI | Download None (ext.) | arXiv
 
[10]
2001 | Published | Conference Paper | IST-REx-ID: 2340 | OA
Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula
R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
View | DOI | Download None (ext.) | arXiv
 
[9]
2001 | Published | Journal Article | IST-REx-ID: 2341 | OA
Atoms with bosonic "electrons" in strong magnetic fields
B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
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[8]
2001 | Published | Journal Article | IST-REx-ID: 2345 | OA
On the maximal ionization of atoms in strong magnetic fields
R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
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[7]
2001 | Published | Journal Article | IST-REx-ID: 2346 | OA
Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[6]
2001 | Published | Journal Article | IST-REx-ID: 2347 | OA
A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[5]
2001 | Published | Journal Article | IST-REx-ID: 2348 | OA
A discrete density matrix theory for atoms in strong magnetic fields
C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2000 | Published | Conference Paper | IST-REx-ID: 2325
Inequalities for Schrödinger operators and applications to the stability of matter problem
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
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[3]
2000 | Published | Conference Paper | IST-REx-ID: 2342 | OA
The ground state energy and density of interacting bosons in a trap
R. Seiringer, É. Lieb, J. Yngvason, in:, Proceedings of the International Symposium on Quantum Theory and Symmetries, World Scientific Publishing, 2000, pp. 101–110.
View | Download None (ext.) | arXiv
 
[2]
2000 | Published | Journal Article | IST-REx-ID: 2343 | OA
On the ordering of energy levels in homogeneous magnetic fields
B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
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[1]
2000 | Published | Journal Article | IST-REx-ID: 2344 | OA
Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

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