[{"abstract":[{"text":"We prove an upper bound on the ground state energy of the dilute spin-polarized Fermi gas capturing the leading correction to the kinetic energy resulting from repulsive interactions. One of the main ingredients in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin et al. (1971) [15].","lang":"eng"}],"volume":286,"issue":"7","article_type":"original","article_number":"110320","intvolume":"       286","department":[{"_id":"RoSe"}],"date_created":"2024-02-04T23:00:53Z","language":[{"iso":"eng"}],"scopus_import":"1","title":"Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion","citation":{"chicago":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” <i>Journal of Functional Analysis</i>. Elsevier, 2024. <a href=\"https://doi.org/10.1016/j.jfa.2024.110320\">https://doi.org/10.1016/j.jfa.2024.110320</a>.","ista":"Lauritsen AB, Seiringer R. 2024. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 286(7), 110320.","apa":"Lauritsen, A. B., &#38; Seiringer, R. (2024). Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2024.110320\">https://doi.org/10.1016/j.jfa.2024.110320</a>","ama":"Lauritsen AB, Seiringer R. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. <i>Journal of Functional Analysis</i>. 2024;286(7). doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110320\">10.1016/j.jfa.2024.110320</a>","ieee":"A. B. Lauritsen and R. Seiringer, “Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion,” <i>Journal of Functional Analysis</i>, vol. 286, no. 7. Elsevier, 2024.","short":"A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).","mla":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” <i>Journal of Functional Analysis</i>, vol. 286, no. 7, 110320, Elsevier, 2024, doi:<a href=\"https://doi.org/10.1016/j.jfa.2024.110320\">10.1016/j.jfa.2024.110320</a>."},"day":"24","type":"journal_article","main_file_link":[{"url":"https://doi.org/10.1016/j.jfa.2024.110320","open_access":"1"}],"oa_version":"Published Version","doi":"10.1016/j.jfa.2024.110320","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (in subscription journal)","year":"2024","publication_identifier":{"eissn":["1096--0783"],"issn":["0022-1236"]},"date_published":"2024-01-24T00:00:00Z","status":"public","acknowledgement":"A.B.L. would like to thank Johannes Agerskov and Jan Philip Solovej for valuable discussions. We thank Alessandro Giuliani for helpful discussions and for pointing out the reference [18]. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is acknowledged. Financial support by the Austrian Science Fund (FWF) through project number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.","author":[{"id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen","orcid":"0000-0003-4476-2288","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"oa":1,"external_id":{"arxiv":["2301.04894"]},"arxiv":1,"_id":"14931","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"Mathematical Challenges in BCS Theory of Superconductivity","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427"}],"date_updated":"2024-02-05T12:53:21Z","ec_funded":1,"publication_status":"epub_ahead","publisher":"Elsevier","month":"01","publication":"Journal of Functional Analysis"},{"doi":"10.1007/s00220-023-04841-3","quality_controlled":"1","oa_version":"Published Version","citation":{"ama":"Brooks M, Seiringer R. The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. <i>Communications in Mathematical Physics</i>. 2023;404:287-337. doi:<a href=\"https://doi.org/10.1007/s00220-023-04841-3\">10.1007/s00220-023-04841-3</a>","ieee":"M. Brooks and R. Seiringer, “The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy,” <i>Communications in Mathematical Physics</i>, vol. 404. Springer Nature, pp. 287–337, 2023.","short":"M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.","chicago":"Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part I - The Quantum Correction to the Classical Energy.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00220-023-04841-3\">https://doi.org/10.1007/s00220-023-04841-3</a>.","apa":"Brooks, M., &#38; Seiringer, R. (2023). The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-023-04841-3\">https://doi.org/10.1007/s00220-023-04841-3</a>","ista":"Brooks M, Seiringer R. 2023. The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. Communications in Mathematical Physics. 404, 287–337.","mla":"Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part I - The Quantum Correction to the Classical Energy.” <i>Communications in Mathematical Physics</i>, vol. 404, Springer Nature, 2023, pp. 287–337, doi:<a href=\"https://doi.org/10.1007/s00220-023-04841-3\">10.1007/s00220-023-04841-3</a>."},"type":"journal_article","day":"01","scopus_import":"1","title":"The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy","department":[{"_id":"RoSe"}],"date_created":"2023-10-22T22:01:13Z","language":[{"iso":"eng"}],"article_type":"original","intvolume":"       404","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":404,"abstract":[{"lang":"eng","text":"We study the Fröhlich polaron model in R3, and establish the subleading term in the strong coupling asymptotics of its ground state energy, corresponding to the quantum corrections to the classical energy determined by the Pekar approximation."}],"publication":"Communications in Mathematical Physics","month":"11","file":[{"file_name":"2023_CommMathPhysics_Brooks.pdf","date_created":"2023-10-31T12:21:39Z","file_id":"14477","creator":"dernst","date_updated":"2023-10-31T12:21:39Z","access_level":"open_access","success":1,"content_type":"application/pdf","relation":"main_file","checksum":"1ae49b39247cb6b40ff75997381581b8","file_size":832375}],"publisher":"Springer Nature","has_accepted_license":"1","file_date_updated":"2023-10-31T12:21:39Z","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"date_updated":"2023-10-31T12:22:51Z","publication_status":"published","ec_funded":1,"_id":"14441","arxiv":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria).","oa":1,"external_id":{"arxiv":["2207.03156"]},"author":[{"orcid":"0000-0002-6249-0928","first_name":"Morris","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","last_name":"Brooks"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"287-337","article_processing_charge":"Yes (via OA deal)","year":"2023","publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"status":"public","date_published":"2023-11-01T00:00:00Z","ddc":["510"]},{"publication_status":"published","date_updated":"2023-12-11T12:12:14Z","arxiv":1,"_id":"14662","oa":1,"external_id":{"arxiv":["2210.17123"]},"author":[{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"status":"public","date_published":"2023-11-25T00:00:00Z","ddc":["510"],"year":"2023","publication_identifier":{"issn":["1664-039X"],"eissn":["1664-0403"]},"article_processing_charge":"Yes","page":"1045-1055","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Journal of Spectral Theory","file":[{"file_size":201513,"checksum":"9ce96ca87d56ea9a70d2eb9a32839f8d","relation":"main_file","content_type":"application/pdf","success":1,"file_id":"14677","access_level":"open_access","creator":"dernst","date_updated":"2023-12-11T12:03:12Z","file_name":"2023_JST_Seiringer.pdf","date_created":"2023-12-11T12:03:12Z"}],"month":"11","publisher":"EMS Press","has_accepted_license":"1","file_date_updated":"2023-12-11T12:03:12Z","title":"Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling","scopus_import":"1","language":[{"iso":"eng"}],"date_created":"2023-12-10T23:00:59Z","department":[{"_id":"RoSe"}],"intvolume":"        13","article_type":"original","issue":"3","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":13,"abstract":[{"lang":"eng","text":"We consider a class of polaron models, including the Fröhlich model, at zero total\r\nmomentum, and show that at sufficiently weak coupling there are no excited eigenvalues below\r\nthe essential spectrum."}],"doi":"10.4171/JST/469","quality_controlled":"1","oa_version":"None","day":"25","type":"journal_article","citation":{"mla":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” <i>Journal of Spectral Theory</i>, vol. 13, no. 3, EMS Press, 2023, pp. 1045–55, doi:<a href=\"https://doi.org/10.4171/JST/469\">10.4171/JST/469</a>.","ama":"Seiringer R. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. <i>Journal of Spectral Theory</i>. 2023;13(3):1045-1055. doi:<a href=\"https://doi.org/10.4171/JST/469\">10.4171/JST/469</a>","short":"R. Seiringer, Journal of Spectral Theory 13 (2023) 1045–1055.","ieee":"R. Seiringer, “Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling,” <i>Journal of Spectral Theory</i>, vol. 13, no. 3. EMS Press, pp. 1045–1055, 2023.","ista":"Seiringer R. 2023. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 13(3), 1045–1055.","apa":"Seiringer, R. (2023). Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. <i>Journal of Spectral Theory</i>. EMS Press. <a href=\"https://doi.org/10.4171/JST/469\">https://doi.org/10.4171/JST/469</a>","chicago":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” <i>Journal of Spectral Theory</i>. EMS Press, 2023. <a href=\"https://doi.org/10.4171/JST/469\">https://doi.org/10.4171/JST/469</a>."}},{"type":"journal_article","day":"15","citation":{"ista":"Mitrouskas DJ, Seiringer R. 2023. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 5(4), 973–1008.","apa":"Mitrouskas, D. J., &#38; Seiringer, R. (2023). Ubiquity of bound states for the strongly coupled polaron. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2023.5.973\">https://doi.org/10.2140/paa.2023.5.973</a>","chicago":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2023. <a href=\"https://doi.org/10.2140/paa.2023.5.973\">https://doi.org/10.2140/paa.2023.5.973</a>.","short":"D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.","ieee":"D. J. Mitrouskas and R. Seiringer, “Ubiquity of bound states for the strongly coupled polaron,” <i>Pure and Applied Analysis</i>, vol. 5, no. 4. Mathematical Sciences Publishers, pp. 973–1008, 2023.","ama":"Mitrouskas DJ, Seiringer R. Ubiquity of bound states for the strongly coupled polaron. <i>Pure and Applied Analysis</i>. 2023;5(4):973-1008. doi:<a href=\"https://doi.org/10.2140/paa.2023.5.973\">10.2140/paa.2023.5.973</a>","mla":"Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>, vol. 5, no. 4, Mathematical Sciences Publishers, 2023, pp. 973–1008, doi:<a href=\"https://doi.org/10.2140/paa.2023.5.973\">10.2140/paa.2023.5.973</a>."},"publisher":"Mathematical Sciences Publishers","oa_version":"None","month":"12","quality_controlled":"1","doi":"10.2140/paa.2023.5.973","publication":"Pure and Applied Analysis","status":"public","date_published":"2023-12-15T00:00:00Z","publication_identifier":{"issn":["2578-5885","2578-5893"]},"volume":5,"year":"2023","abstract":[{"text":"\r\nAbstract\r\nWe study the spectrum of the Fröhlich Hamiltonian for the polaron at fixed total momentum. We prove the existence of excited eigenvalues between the ground state energy and the essential spectrum at strong coupling. In fact, our main result shows that the number of excited energy bands diverges in the strong coupling limit. To prove this we derive upper bounds for the min-max values of the corresponding fiber Hamiltonians and compare them with the bottom of the essential spectrum, a lower bound on which was recently obtained by Brooks and Seiringer (Comm. Math. Phys. 404:1 (2023), 287–337). The upper bounds are given in terms of the ground state energy band shifted by momentum-independent excitation energies determined by an effective Hamiltonian of Bogoliubov type.","lang":"eng"}],"article_processing_charge":"No","page":"973-1008","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"keyword":["General Medicine"],"intvolume":"         5","issue":"4","article_type":"original","language":[{"iso":"eng"}],"_id":"14854","date_created":"2024-01-22T08:24:23Z","department":[{"_id":"RoSe"}],"publication_status":"published","title":"Ubiquity of bound states for the strongly coupled polaron","date_updated":"2024-01-23T12:55:12Z"},{"alternative_title":["Mathematics and Molecular Modeling"],"title":"Universal Functionals in Density Functional Theory","department":[{"_id":"RoSe"}],"date_created":"2024-02-14T14:44:33Z","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"In this chapter we first review the Levy–Lieb functional, which gives the lowest kinetic and interaction energy that can be reached with all possible quantum states having a given density. We discuss two possible convex generalizations of this functional, corresponding to using mixed canonical and grand-canonical states, respectively. We present some recent works about the local density approximation, in which the functionals get replaced by purely local functionals constructed using the uniform electron gas energy per unit volume. We then review the known upper and lower bounds on the Levy–Lieb functionals. We start with the kinetic energy alone, then turn to the classical interaction alone, before we are able to put everything together. A later section is devoted to the Hohenberg–Kohn theorem and the role of many-body unique continuation in its proof."}],"quality_controlled":"1","doi":"10.1007/978-3-031-22340-2_3","oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1912.10424"}],"citation":{"mla":"Lewin, Mathieu, et al. “Universal Functionals in Density Functional Theory.” <i>Density Functional Theory</i>, edited by Eric Cances and Gero Friesecke, 1st ed., Springer, 2023, pp. 115–82, doi:<a href=\"https://doi.org/10.1007/978-3-031-22340-2_3\">10.1007/978-3-031-22340-2_3</a>.","ista":"Lewin M, Lieb EH, Seiringer R. 2023.Universal Functionals in Density Functional Theory. In: Density Functional Theory. Mathematics and Molecular Modeling, , 115–182.","apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2023). Universal Functionals in Density Functional Theory. In E. Cances &#38; G. Friesecke (Eds.), <i>Density Functional Theory</i> (1st ed., pp. 115–182). Springer. <a href=\"https://doi.org/10.1007/978-3-031-22340-2_3\">https://doi.org/10.1007/978-3-031-22340-2_3</a>","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Universal Functionals in Density Functional Theory.” In <i>Density Functional Theory</i>, edited by Eric Cances and Gero Friesecke, 1st ed., 115–82. MAMOMO. Springer, 2023. <a href=\"https://doi.org/10.1007/978-3-031-22340-2_3\">https://doi.org/10.1007/978-3-031-22340-2_3</a>.","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Universal Functionals in Density Functional Theory,” in <i>Density Functional Theory</i>, 1st ed., E. Cances and G. Friesecke, Eds. Springer, 2023, pp. 115–182.","ama":"Lewin M, Lieb EH, Seiringer R. Universal Functionals in Density Functional Theory. In: Cances E, Friesecke G, eds. <i>Density Functional Theory</i>. 1st ed. MAMOMO. Springer; 2023:115-182. doi:<a href=\"https://doi.org/10.1007/978-3-031-22340-2_3\">10.1007/978-3-031-22340-2_3</a>","short":"M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182."},"day":"19","type":"book_chapter","date_updated":"2024-02-20T08:33:06Z","publication_status":"published","arxiv":1,"_id":"14992","editor":[{"last_name":"Cances","full_name":"Cances, Eric","first_name":"Eric"},{"last_name":"Friesecke","full_name":"Friesecke, Gero","first_name":"Gero"}],"oa":1,"author":[{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"last_name":"Lieb","first_name":"Elliott H.","full_name":"Lieb, Elliott H."},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert"}],"external_id":{"arxiv":["1912.10424"]},"page":"115-182","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","publication_identifier":{"issn":["3005-0286"],"eisbn":["9783031223402"],"isbn":["9783031223396"]},"year":"2023","status":"public","date_published":"2023-07-19T00:00:00Z","publication":"Density Functional Theory","series_title":"MAMOMO","month":"07","edition":"1","publisher":"Springer"},{"publisher":"Cambridge University Press","has_accepted_license":"1","file_date_updated":"2023-07-03T10:36:25Z","publication":"Forum of Mathematics","month":"06","file":[{"relation":"main_file","content_type":"application/pdf","success":1,"file_size":943192,"checksum":"f672eb7dd015c472c9a04f1b9bf9df7d","file_name":"2023_ForumofMathematics.Sigma_Mitrouskas.pdf","date_created":"2023-07-03T10:36:25Z","access_level":"open_access","creator":"alisjak","date_updated":"2023-07-03T10:36:25Z","file_id":"13186"}],"acknowledgement":"This research was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme grant agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.).","isi":1,"oa":1,"author":[{"full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d"},{"full_name":"Mysliwy, Krzysztof","first_name":"Krzysztof","last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"external_id":{"isi":["001005008800001"],"arxiv":["2203.02454"]},"page":"1-52","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes","publication_identifier":{"eissn":["2050-5094"]},"year":"2023","date_published":"2023-06-13T00:00:00Z","status":"public","ddc":["500"],"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"date_updated":"2023-11-02T12:30:50Z","ec_funded":1,"publication_status":"published","arxiv":1,"_id":"13178","citation":{"mla":"Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>, vol. 11, Cambridge University Press, 2023, pp. 1–52, doi:<a href=\"https://doi.org/10.1017/fms.2023.45\">10.1017/fms.2023.45</a>.","ista":"Mitrouskas DJ, Mysliwy K, Seiringer R. 2023. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 11, 1–52.","chicago":"Mitrouskas, David Johannes, Krzysztof Mysliwy, and Robert Seiringer. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” <i>Forum of Mathematics</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fms.2023.45\">https://doi.org/10.1017/fms.2023.45</a>.","apa":"Mitrouskas, D. J., Mysliwy, K., &#38; Seiringer, R. (2023). Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2023.45\">https://doi.org/10.1017/fms.2023.45</a>","ama":"Mitrouskas DJ, Mysliwy K, Seiringer R. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. <i>Forum of Mathematics</i>. 2023;11:1-52. doi:<a href=\"https://doi.org/10.1017/fms.2023.45\">10.1017/fms.2023.45</a>","short":"D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.","ieee":"D. J. Mitrouskas, K. Mysliwy, and R. Seiringer, “Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron,” <i>Forum of Mathematics</i>, vol. 11. Cambridge University Press, pp. 1–52, 2023."},"type":"journal_article","day":"13","quality_controlled":"1","doi":"10.1017/fms.2023.45","oa_version":"Published Version","article_type":"original","intvolume":"        11","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":11,"abstract":[{"text":"We consider the large polaron described by the Fröhlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an optimal parabolic upper bound for the energy-momentum relation in the limit of strong coupling. The upper bound consists of a momentum independent term that agrees with the predicted two-term expansion for the ground state energy of the strongly coupled polaron at rest and a term that is quadratic in the momentum with coefficient given by the inverse of twice the classical effective mass introduced by Landau and Pekar.","lang":"eng"}],"scopus_import":"1","title":"Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron","department":[{"_id":"RoSe"}],"date_created":"2023-07-02T22:00:43Z","language":[{"iso":"eng"}]},{"file_date_updated":"2023-07-11T08:19:15Z","has_accepted_license":"1","publisher":"EMS Press","month":"05","file":[{"creator":"alisjak","date_updated":"2023-07-11T08:19:15Z","access_level":"open_access","file_id":"13208","file_name":"2023_EMS_Hainzl.pdf","date_created":"2023-07-11T08:19:15Z","checksum":"5501da33be010b5c81440438287584d5","file_size":304619,"success":1,"relation":"main_file","content_type":"application/pdf"}],"publication":"Journal of Spectral Theory","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","page":"1507–1540","article_processing_charge":"No","publication_identifier":{"issn":["1664-039X"],"eissn":["1664-0403"]},"year":"2023","status":"public","date_published":"2023-05-18T00:00:00Z","ddc":["530"],"acknowledgement":"We thank Egor Babaev for encouraging us to study this problem, and Rupert Frank for many fruitful discussions. scussions. Funding. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (Barbara Roos and Robert Seiringer) is gratefully acknowledged.","author":[{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"orcid":"0000-0002-9071-5880","first_name":"Barbara","full_name":"Roos, Barbara","last_name":"Roos","id":"5DA90512-D80F-11E9-8994-2E2EE6697425"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert"}],"isi":1,"external_id":{"isi":["000997933500008"],"arxiv":["2201.08090"]},"oa":1,"arxiv":1,"_id":"13207","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"date_updated":"2023-10-27T10:37:29Z","publication_status":"published","ec_funded":1,"citation":{"ista":"Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540.","apa":"Hainzl, C., Roos, B., &#38; Seiringer, R. (2023). Boundary superconductivity in the BCS model. <i>Journal of Spectral Theory</i>. EMS Press. <a href=\"https://doi.org/10.4171/JST/439\">https://doi.org/10.4171/JST/439</a>","chicago":"Hainzl, Christian, Barbara Roos, and Robert Seiringer. “Boundary Superconductivity in the BCS Model.” <i>Journal of Spectral Theory</i>. EMS Press, 2023. <a href=\"https://doi.org/10.4171/JST/439\">https://doi.org/10.4171/JST/439</a>.","ieee":"C. Hainzl, B. Roos, and R. Seiringer, “Boundary superconductivity in the BCS model,” <i>Journal of Spectral Theory</i>, vol. 12, no. 4. EMS Press, pp. 1507–1540, 2023.","short":"C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.","ama":"Hainzl C, Roos B, Seiringer R. Boundary superconductivity in the BCS model. <i>Journal of Spectral Theory</i>. 2023;12(4):1507–1540. doi:<a href=\"https://doi.org/10.4171/JST/439\">10.4171/JST/439</a>","mla":"Hainzl, Christian, et al. “Boundary Superconductivity in the BCS Model.” <i>Journal of Spectral Theory</i>, vol. 12, no. 4, EMS Press, 2023, pp. 1507–1540, doi:<a href=\"https://doi.org/10.4171/JST/439\">10.4171/JST/439</a>."},"related_material":{"record":[{"status":"public","id":"14374","relation":"dissertation_contains"}]},"type":"journal_article","day":"18","oa_version":"Published Version","quality_controlled":"1","doi":"10.4171/JST/439","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"abstract":[{"lang":"eng","text":"We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical temperature is strictly larger than the bulk value, at least at weak coupling. In particular, the Cooper-pair wave function localizes near the boundary, an effect that cannot be modeled by effective Neumann boundary conditions on the order parameter as often imposed in Ginzburg–Landau theory. We also show that the relative shift in critical temperature vanishes if the coupling constant either goes to zero or to infinity."}],"volume":12,"issue":"4","article_type":"original","intvolume":"        12","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"date_created":"2023-07-10T16:35:45Z","language":[{"iso":"eng"}],"title":"Boundary superconductivity in the BCS model"},{"type":"journal_article","day":"01","citation":{"ama":"Benedikter NP, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas with large interaction potential. <i>Archive for Rational Mechanics and Analysis</i>. 2023;247(4). doi:<a href=\"https://doi.org/10.1007/s00205-023-01893-6\">10.1007/s00205-023-01893-6</a>","short":"N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).","ieee":"N. P. Benedikter, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas with large interaction potential,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 247, no. 4. Springer Nature, 2023.","chicago":"Benedikter, Niels P, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00205-023-01893-6\">https://doi.org/10.1007/s00205-023-01893-6</a>.","ista":"Benedikter NP, Porta M, Schlein B, Seiringer R. 2023. Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. 247(4), 65.","apa":"Benedikter, N. P., Porta, M., Schlein, B., &#38; Seiringer, R. (2023). Correlation energy of a weakly interacting Fermi gas with large interaction potential. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-023-01893-6\">https://doi.org/10.1007/s00205-023-01893-6</a>","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 247, no. 4, 65, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s00205-023-01893-6\">10.1007/s00205-023-01893-6</a>."},"oa_version":"Published Version","doi":"10.1007/s00205-023-01893-6","quality_controlled":"1","abstract":[{"text":"Recently the leading order of the correlation energy of a Fermi gas in a coupled mean-field and semiclassical scaling regime has been derived, under the assumption of an interaction potential with a small norm and with compact support in Fourier space. We generalize this result to large interaction potentials, requiring only |⋅|V^∈ℓ1(Z3). Our proof is based on approximate, collective bosonization in three dimensions. Significant improvements compared to recent work include stronger bounds on non-bosonizable terms and more efficient control on the bosonization of the kinetic energy.","lang":"eng"}],"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":247,"article_type":"original","issue":"4","article_number":"65","intvolume":"       247","date_created":"2023-07-16T22:01:08Z","language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"scopus_import":"1","title":"Correlation energy of a weakly interacting Fermi gas with large interaction potential","file_date_updated":"2023-11-14T13:12:12Z","has_accepted_license":"1","publisher":"Springer Nature","file":[{"access_level":"open_access","date_updated":"2023-11-14T13:12:12Z","creator":"dernst","file_id":"14535","date_created":"2023-11-14T13:12:12Z","file_name":"2023_ArchiveRationalMechAnalysis_Benedikter.pdf","file_size":851626,"checksum":"2b45828d854a253b14bf7aa196ec55e9","content_type":"application/pdf","relation":"main_file","success":1}],"month":"08","publication":"Archive for Rational Mechanics and Analysis","year":"2023","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"ddc":["510"],"date_published":"2023-08-01T00:00:00Z","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","oa":1,"author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","last_name":"Benedikter","orcid":"0000-0002-1071-6091","first_name":"Niels P","full_name":"Benedikter, Niels P"},{"last_name":"Porta","full_name":"Porta, Marcello","first_name":"Marcello"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"isi":1,"external_id":{"isi":["001024369000001"],"arxiv":["2106.13185"]},"acknowledgement":"RS was supported by the European Research Council under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227). MP acknowledges financial support from the European Research Council under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, Grant Agreement No. 802901). BS acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC AdG CLaQS (Grant Agreement No. 834782). NB and MP were supported by Gruppo Nazionale per la Fisica Matematica (GNFM) of Italy. NB was supported by the European Research Council’s Starting Grant FERMIMATH (Grant Agreement No. 101040991).\r\nOpen access funding provided by Università degli Studi di Milano within the CRUI-CARE Agreement.","arxiv":1,"_id":"13225","publication_status":"published","ec_funded":1,"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"date_updated":"2023-12-13T11:31:14Z"},{"arxiv":1,"_id":"14254","date_updated":"2024-01-30T14:17:23Z","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","year":"2023","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"status":"public","date_published":"2023-11-15T00:00:00Z","ddc":["510"],"acknowledgement":"J.P.S. thanks the Institute of Science and Technology Austria for the hospitality and support during a visit where this work was done. J.P.S. was also partially supported by the VILLUM Centre of Excellence for the Mathematics of Quantum Theory (QMATH) (grant No. 10059).","isi":1,"author":[{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"},{"first_name":"Jan Philip","full_name":"Solovej, Jan Philip","last_name":"Solovej"}],"external_id":{"isi":["001071552300001"],"arxiv":["2303.04504"]},"oa":1,"month":"11","file":[{"file_size":232934,"checksum":"28e424ad91be6219e9d321054ce3a412","relation":"main_file","content_type":"application/pdf","success":1,"access_level":"open_access","date_updated":"2024-01-30T14:15:16Z","creator":"dernst","file_id":"14915","date_created":"2024-01-30T14:15:16Z","file_name":"2023_JourFunctionalAnalysis_Seiringer.pdf"}],"publication":"Journal of Functional Analysis","file_date_updated":"2024-01-30T14:15:16Z","publisher":"Elsevier","has_accepted_license":"1","department":[{"_id":"RoSe"}],"date_created":"2023-09-03T22:01:14Z","language":[{"iso":"eng"}],"scopus_import":"1","title":"A simple approach to Lieb-Thirring type inequalities","volume":285,"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"abstract":[{"text":"In [10] Nam proved a Lieb–Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb–Thirring inequality.","lang":"eng"}],"article_type":"original","issue":"10","article_number":"110129","intvolume":"       285","oa_version":"Published Version","doi":"10.1016/j.jfa.2023.110129","quality_controlled":"1","citation":{"mla":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” <i>Journal of Functional Analysis</i>, vol. 285, no. 10, 110129, Elsevier, 2023, doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">10.1016/j.jfa.2023.110129</a>.","chicago":"Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” <i>Journal of Functional Analysis</i>. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">https://doi.org/10.1016/j.jfa.2023.110129</a>.","apa":"Seiringer, R., &#38; Solovej, J. P. (2023). A simple approach to Lieb-Thirring type inequalities. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">https://doi.org/10.1016/j.jfa.2023.110129</a>","ista":"Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.","short":"R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).","ama":"Seiringer R, Solovej JP. A simple approach to Lieb-Thirring type inequalities. <i>Journal of Functional Analysis</i>. 2023;285(10). doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110129\">10.1016/j.jfa.2023.110129</a>","ieee":"R. Seiringer and J. P. Solovej, “A simple approach to Lieb-Thirring type inequalities,” <i>Journal of Functional Analysis</i>, vol. 285, no. 10. Elsevier, 2023."},"day":"15","type":"journal_article"},{"publisher":"Springer Nature","month":"05","publication":"Annales Henri Poincare","year":"2023","publication_identifier":{"issn":["1424-0637"]},"status":"public","date_published":"2023-05-01T00:00:00Z","page":"1505-1560","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","oa":1,"author":[{"last_name":"Boccato","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","full_name":"Boccato, Chiara","first_name":"Chiara"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"external_id":{"isi":["000910751800002"],"arxiv":["2205.15284"]},"isi":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged.","arxiv":1,"_id":"12183","publication_status":"published","ec_funded":1,"project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"}],"date_updated":"2023-08-16T11:34:03Z","type":"journal_article","day":"01","citation":{"mla":"Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” <i>Annales Henri Poincare</i>, vol. 24, Springer Nature, 2023, pp. 1505–60, doi:<a href=\"https://doi.org/10.1007/s00023-022-01252-3\">10.1007/s00023-022-01252-3</a>.","ama":"Boccato C, Seiringer R. The Bose Gas in a box with Neumann boundary conditions. <i>Annales Henri Poincare</i>. 2023;24:1505-1560. doi:<a href=\"https://doi.org/10.1007/s00023-022-01252-3\">10.1007/s00023-022-01252-3</a>","short":"C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.","ieee":"C. Boccato and R. Seiringer, “The Bose Gas in a box with Neumann boundary conditions,” <i>Annales Henri Poincare</i>, vol. 24. Springer Nature, pp. 1505–1560, 2023.","chicago":"Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” <i>Annales Henri Poincare</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s00023-022-01252-3\">https://doi.org/10.1007/s00023-022-01252-3</a>.","apa":"Boccato, C., &#38; Seiringer, R. (2023). The Bose Gas in a box with Neumann boundary conditions. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-022-01252-3\">https://doi.org/10.1007/s00023-022-01252-3</a>","ista":"Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2205.15284"}],"oa_version":"Preprint","quality_controlled":"1","doi":"10.1007/s00023-022-01252-3","volume":24,"abstract":[{"lang":"eng","text":"We consider a gas of n bosonic particles confined in a box [−ℓ/2,ℓ/2]3 with Neumann boundary conditions. We prove Bose–Einstein condensation in the Gross–Pitaevskii regime, with an optimal bound on the condensate depletion. Moreover, our lower bound for the ground state energy in a small box [−ℓ/2,ℓ/2]3 implies (via Neumann bracketing) a lower bound for the ground state energy of N bosons in a large box [−L/2,L/2]3 with density ρ=N/L3 in the thermodynamic limit."}],"article_type":"original","intvolume":"        24","date_created":"2023-01-15T23:00:52Z","language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"scopus_import":"1","title":"The Bose Gas in a box with Neumann boundary conditions"},{"external_id":{"arxiv":["2107.03720"]},"author":[{"full_name":"Feliciangeli, Dario","first_name":"Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli"},{"full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa":1,"acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon\r\n2020 research and innovation programme under the ERC Grant Agreement No. 694227\r\n(DF and RS) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (SR) is\r\ngratefully acknowledged.","publication_identifier":{"eissn":["1751-8121"],"issn":["1751-8113"]},"year":"2022","status":"public","date_published":"2022-01-19T00:00:00Z","ddc":["510"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","ec_funded":1,"publication_status":"published","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"date_updated":"2024-03-06T12:30:44Z","arxiv":1,"_id":"10755","has_accepted_license":"1","publisher":"IOP Publishing","file_date_updated":"2022-02-14T08:20:19Z","publication":"Journal of Physics A: Mathematical and Theoretical","file":[{"file_size":1132380,"checksum":"0875e562705563053d6dd98fba4d8578","relation":"main_file","content_type":"application/pdf","success":1,"file_id":"10757","access_level":"open_access","date_updated":"2022-02-14T08:20:19Z","creator":"dernst","date_created":"2022-02-14T08:20:19Z","file_name":"2022_JournalPhysicsA_Feliciangeli.pdf"}],"month":"01","article_type":"original","issue":"1","article_number":"015201","intvolume":"        55","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"abstract":[{"lang":"eng","text":"We provide a definition of the effective mass for the classical polaron described by the Landau–Pekar (LP) equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by LP (1948 J. Exp. Theor. Phys. 18 419–423)."}],"volume":55,"scopus_import":"1","title":"The effective mass problem for the Landau-Pekar equations","date_created":"2022-02-13T23:01:35Z","language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"type":"journal_article","day":"19","citation":{"ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2022;55(1). doi:<a href=\"https://doi.org/10.1088/1751-8121/ac3947\">10.1088/1751-8121/ac3947</a>","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55, no. 1. IOP Publishing, 2022.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 55(1), 015201.","apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2022). The effective mass problem for the Landau-Pekar equations. <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1751-8121/ac3947\">https://doi.org/10.1088/1751-8121/ac3947</a>","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing, 2022. <a href=\"https://doi.org/10.1088/1751-8121/ac3947\">https://doi.org/10.1088/1751-8121/ac3947</a>.","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55, no. 1, 015201, IOP Publishing, 2022, doi:<a href=\"https://doi.org/10.1088/1751-8121/ac3947\">10.1088/1751-8121/ac3947</a>."},"related_material":{"record":[{"status":"public","id":"9791","relation":"earlier_version"}]},"quality_controlled":"1","doi":"10.1088/1751-8121/ac3947","oa_version":"Published Version"},{"acknowledgement":"We thank Rupert Frank for contributing Appendix B. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 is gratefully acknowledged.","external_id":{"isi":["000795160200009"],"arxiv":["2105.04874"]},"isi":1,"author":[{"first_name":"Barbara","full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","last_name":"Roos","id":"5DA90512-D80F-11E9-8994-2E2EE6697425"},{"first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa":1,"keyword":["Analysis"],"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","ddc":["510"],"status":"public","date_published":"2022-06-15T00:00:00Z","publication_identifier":{"issn":["0022-1236"]},"year":"2022","date_updated":"2023-10-27T10:37:29Z","project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"ec_funded":1,"publication_status":"published","_id":"10850","arxiv":1,"publisher":"Elsevier","has_accepted_license":"1","file_date_updated":"2022-08-02T10:37:55Z","publication":"Journal of Functional Analysis","month":"06","file":[{"date_created":"2022-08-02T10:37:55Z","file_name":"2022_JourFunctionalAnalysis_Roos.pdf","date_updated":"2022-08-02T10:37:55Z","creator":"dernst","access_level":"open_access","file_id":"11720","success":1,"relation":"main_file","content_type":"application/pdf","checksum":"63efcefaa1f2717244ef5407bd564426","file_size":631391}],"intvolume":"       282","article_type":"original","issue":"12","article_number":"109455","volume":282,"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"abstract":[{"lang":"eng","text":"We study two interacting quantum particles forming a bound state in d-dimensional free\r\nspace, and constrain the particles in k directions to (0, ∞)k ×Rd−k, with Neumann boundary\r\nconditions. First, we prove that the ground state energy strictly decreases upon going from k\r\nto k+1. This shows that the particles stick to the corner where all boundary planes intersect.\r\nSecond, we show that for all k the resulting Hamiltonian, after removing the free part of the\r\nkinetic energy, has only finitely many eigenvalues below the essential spectrum. This paper\r\ngeneralizes the work of Egger, Kerner and Pankrashkin (J. Spectr. Theory 10(4):1413–1444,\r\n2020) to dimensions d > 1."}],"title":"Two-particle bound states at interfaces and corners","scopus_import":"1","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"language":[{"iso":"eng"}],"date_created":"2022-03-16T08:41:53Z","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14374"}]},"citation":{"mla":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” <i>Journal of Functional Analysis</i>, vol. 282, no. 12, 109455, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">10.1016/j.jfa.2022.109455</a>.","ista":"Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.","chicago":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” <i>Journal of Functional Analysis</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">https://doi.org/10.1016/j.jfa.2022.109455</a>.","apa":"Roos, B., &#38; Seiringer, R. (2022). Two-particle bound states at interfaces and corners. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">https://doi.org/10.1016/j.jfa.2022.109455</a>","ama":"Roos B, Seiringer R. Two-particle bound states at interfaces and corners. <i>Journal of Functional Analysis</i>. 2022;282(12). doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">10.1016/j.jfa.2022.109455</a>","short":"B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).","ieee":"B. Roos and R. Seiringer, “Two-particle bound states at interfaces and corners,” <i>Journal of Functional Analysis</i>, vol. 282, no. 12. Elsevier, 2022."},"day":"15","type":"journal_article","quality_controlled":"1","doi":"10.1016/j.jfa.2022.109455","oa_version":"Published Version"},{"oa_version":"Published Version","doi":"10.1007/s10955-021-02851-w","quality_controlled":"1","day":"01","type":"journal_article","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"11473"}]},"citation":{"chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>.","apa":"Mysliwy, K., &#38; Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. 2022;186(1). doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).","ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” <i>Journal of Statistical Physics</i>, vol. 186, no. 1. Springer Nature, 2022.","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>, vol. 186, no. 1, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>."},"language":[{"iso":"eng"}],"date_created":"2021-12-19T23:01:32Z","department":[{"_id":"RoSe"}],"title":"Polaron models with regular interactions at strong coupling","scopus_import":"1","abstract":[{"lang":"eng","text":"We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass."}],"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":186,"intvolume":"       186","article_number":"5","article_type":"original","issue":"1","file":[{"content_type":"application/pdf","relation":"main_file","success":1,"file_size":434957,"checksum":"da03f6d293c4b9802091bce9471b1d29","date_created":"2022-02-02T14:24:41Z","file_name":"2022_JournalStatPhys_Myśliwy.pdf","file_id":"10716","access_level":"open_access","date_updated":"2022-02-02T14:24:41Z","creator":"cchlebak"}],"month":"01","publication":"Journal of Statistical Physics","file_date_updated":"2022-02-02T14:24:41Z","has_accepted_license":"1","publisher":"Springer Nature","arxiv":1,"_id":"10564","ec_funded":1,"publication_status":"published","date_updated":"2023-09-07T13:43:51Z","project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"date_published":"2022-01-01T00:00:00Z","ddc":["530"],"status":"public","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"year":"2022","article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Mysliwy","id":"316457FC-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"oa":1,"external_id":{"isi":["000726275600001"],"arxiv":["2106.09328"]},"isi":1,"acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant Agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.) is gratefully acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria)."},{"doi":"10.1007/s10955-022-02940-4","quality_controlled":"1","oa_version":"Published Version","citation":{"mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 188, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 188. Springer Nature, 2022.","ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. 2022;188. doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>","ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>.","apa":"Rademacher, S. A. E., &#38; Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>"},"day":"01","type":"journal_article","scopus_import":"1","title":"Large deviation estimates for weakly interacting bosons","department":[{"_id":"RoSe"}],"date_created":"2022-08-18T07:23:26Z","language":[{"iso":"eng"}],"article_number":"9","article_type":"original","intvolume":"       188","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":188,"abstract":[{"text":"We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order.","lang":"eng"}],"publication":"Journal of Statistical Physics","month":"07","file":[{"checksum":"44418cb44f07fa21ed3907f85abf7f39","file_size":483481,"success":1,"content_type":"application/pdf","relation":"main_file","date_updated":"2022-08-18T08:09:00Z","creator":"dernst","access_level":"open_access","file_id":"11922","date_created":"2022-08-18T08:09:00Z","file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf"}],"publisher":"Springer Nature","has_accepted_license":"1","file_date_updated":"2022-08-18T08:09:00Z","project":[{"call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"},{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"}],"date_updated":"2023-08-03T12:55:58Z","ec_funded":1,"publication_status":"published","_id":"11917","acknowledgement":"The authors thank Gérard Ben Arous for pointing out the question of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding provided by IST Austria.","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"oa":1,"author":[{"full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"external_id":{"isi":["000805175000001"]},"isi":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"Yes (via OA deal)","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"year":"2022","ddc":["510"],"date_published":"2022-07-01T00:00:00Z","status":"public"},{"publisher":"Springer Nature","month":"09","publication":"Letters in Mathematical Physics","article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","date_published":"2022-09-15T00:00:00Z","year":"2022","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"acknowledgement":"We would like to thank David Gontier for useful advice on the numerical simulations. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreements MDFT No. 725528 of M.L. and AQUAMS No. 694227 of R.S.). We are thankful for the hospitality of the Institut Henri Poincaré in Paris, where part of this work was done.","external_id":{"isi":["000854762600001"],"arxiv":["2203.12473"]},"author":[{"first_name":"Mathieu","full_name":"Lewin, Mathieu","last_name":"Lewin"},{"full_name":"Lieb, Elliott H.","first_name":"Elliott H.","last_name":"Lieb"},{"full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"oa":1,"isi":1,"_id":"12246","arxiv":1,"date_updated":"2023-09-05T15:17:34Z","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"publication_status":"published","ec_funded":1,"citation":{"mla":"Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5, 92, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>.","ama":"Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. 2022;112(5). doi:<a href=\"https://doi.org/10.1007/s11005-022-01584-5\">10.1007/s11005-022-01584-5</a>","ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the indirect and exchange energies,” <i>Letters in Mathematical Physics</i>, vol. 112, no. 5. Springer Nature, 2022.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>.","ista":"Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 112(5), 92.","apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2022). Improved Lieb–Oxford bound on the indirect and exchange energies. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-022-01584-5\">https://doi.org/10.1007/s11005-022-01584-5</a>"},"type":"journal_article","day":"15","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2203.12473"}],"oa_version":"Preprint","doi":"10.1007/s11005-022-01584-5","quality_controlled":"1","volume":112,"abstract":[{"text":"The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of a classical system of N identical charges only in terms of their one-particle density. We prove here a new estimate on the best constant in this inequality. Numerical evaluation provides the value 1.58, which is a significant improvement to the previously known value 1.64. The best constant has recently been shown to be larger than 1.44. In a second part, we prove that the constant can be reduced to 1.25 when the inequality is restricted to Hartree–Fock states. This is the first proof that the exchange term is always much lower than the full indirect Coulomb energy.","lang":"eng"}],"intvolume":"       112","issue":"5","article_type":"original","article_number":"92","department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"date_created":"2023-01-16T09:53:54Z","title":"Improved Lieb–Oxford bound on the indirect and exchange energies","scopus_import":"1"},{"quality_controlled":"1","doi":"10.2140/APDE.2021.14.2079","oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1904.12532"}],"day":"10","type":"journal_article","citation":{"short":"N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.","ieee":"N. K. Leopold, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “ The Landau–Pekar equations: Adiabatic theorem and accuracy,” <i>Analysis and PDE</i>, vol. 14, no. 7. Mathematical Sciences Publishers, pp. 2079–2100, 2021.","ama":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R.  The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. 2021;14(7):2079-2100. doi:<a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">10.2140/APDE.2021.14.2079</a>","chicago":"Leopold, Nikolai K, Simone Anna Elvira Rademacher, Benjamin Schlein, and Robert Seiringer. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” <i>Analysis and PDE</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">https://doi.org/10.2140/APDE.2021.14.2079</a>.","ista":"Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021.  The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.","apa":"Leopold, N. K., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021).  The Landau–Pekar equations: Adiabatic theorem and accuracy. <i>Analysis and PDE</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">https://doi.org/10.2140/APDE.2021.14.2079</a>","mla":"Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” <i>Analysis and PDE</i>, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:<a href=\"https://doi.org/10.2140/APDE.2021.14.2079\">10.2140/APDE.2021.14.2079</a>."},"title":" The Landau–Pekar equations: Adiabatic theorem and accuracy","scopus_import":"1","language":[{"iso":"eng"}],"date_created":"2022-02-06T23:01:33Z","department":[{"_id":"RoSe"}],"intvolume":"        14","article_type":"original","issue":"7","volume":14,"abstract":[{"lang":"eng","text":"We prove an adiabatic theorem for the Landau–Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fröhlich Hamiltonian with large coupling constant α. In particular, we show that the time evolution of Pekar product states with coherent phonon field and the electron being trapped by the phonons is well approximated by the Landau–Pekar equations until times short compared to α2."}],"publication":"Analysis and PDE","month":"11","publisher":"Mathematical Sciences Publishers","ec_funded":1,"publication_status":"published","date_updated":"2023-10-17T11:26:45Z","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"arxiv":1,"_id":"10738","isi":1,"oa":1,"author":[{"last_name":"Leopold","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","first_name":"Nikolai K","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822"},{"first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher","id":"856966FE-A408-11E9-977E-802DE6697425"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"external_id":{"arxiv":["1904.12532"],"isi":["000733976600004"]},"acknowledgement":"N. L. and R. S. gratefully acknowledge financial support by the European Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation programme (grant\r\nagreement No 694227). B. S. acknowledges support from the Swiss National Science Foundation (grant 200020_172623) and from the NCCR SwissMAP. N. L. would like to thank\r\nAndreas Deuchert and David Mitrouskas for interesting discussions. B. S. and R. S. would\r\nlike to thank Rupert Frank for stimulating discussions about the time-evolution of a polaron.\r\n","date_published":"2021-11-10T00:00:00Z","status":"public","year":"2021","publication_identifier":{"eissn":["1948-206X"],"issn":["2157-5045"]},"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"2079-2100"},{"doi":"10.1142/s0129055x20600120","quality_controlled":"1","oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.12509"}],"type":"journal_article","day":"01","citation":{"mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>.","ama":"Seiringer R. The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. 2021;33(01). doi:<a href=\"https://doi.org/10.1142/s0129055x20600120\">10.1142/s0129055x20600120</a>","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","ieee":"R. Seiringer, “The polaron at strong coupling,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 01. World Scientific Publishing, 2021.","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.","apa":"Seiringer, R. (2021). The polaron at strong coupling. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>","chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600120\">https://doi.org/10.1142/s0129055x20600120</a>."},"title":"The polaron at strong coupling","scopus_import":"1","language":[{"iso":"eng"}],"date_created":"2022-03-18T08:11:34Z","department":[{"_id":"RoSe"}],"intvolume":"        33","article_type":"original","article_number":"2060012","issue":"01","volume":33,"abstract":[{"text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass.","lang":"eng"}],"publication":"Reviews in Mathematical Physics","month":"02","publisher":"World Scientific Publishing","publication_status":"published","ec_funded":1,"date_updated":"2023-09-05T16:08:02Z","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"arxiv":1,"_id":"10852","oa":1,"isi":1,"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"author":[{"first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"isi":["000613313200013"],"arxiv":["1912.12509"]},"acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227).","status":"public","date_published":"2021-02-01T00:00:00Z","year":"2021","publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1"},{"isi":1,"author":[{"last_name":"Benedikter","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","full_name":"Benedikter, Niels P","first_name":"Niels P","orcid":"0000-0002-1071-6091"},{"last_name":"Nam","full_name":"Nam, Phan Thành","first_name":"Phan Thành"},{"last_name":"Porta","full_name":"Porta, Marcello","first_name":"Marcello"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"oa":1,"external_id":{"isi":["000646573600001"],"arxiv":["2005.08933"]},"acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","status":"public","ddc":["510"],"date_published":"2021-05-03T00:00:00Z","year":"2021","publication_identifier":{"issn":["0020-9910"],"eissn":["1432-1297"]},"article_processing_charge":"Yes (via OA deal)","page":"885-979","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_status":"published","ec_funded":1,"date_updated":"2023-08-21T06:30:30Z","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"arxiv":1,"_id":"7901","publisher":"Springer","has_accepted_license":"1","file_date_updated":"2022-05-16T12:23:40Z","publication":"Inventiones Mathematicae","file":[{"file_name":"2021_InventMath_Benedikter.pdf","date_created":"2022-05-16T12:23:40Z","file_id":"11386","access_level":"open_access","date_updated":"2022-05-16T12:23:40Z","creator":"dernst","relation":"main_file","content_type":"application/pdf","success":1,"file_size":1089319,"checksum":"f38c79dfd828cdc7f49a34b37b83d376"}],"month":"05","intvolume":"       225","article_type":"original","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"volume":225,"abstract":[{"lang":"eng","text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy."}],"title":"Correlation energy of a weakly interacting Fermi gas","scopus_import":"1","language":[{"iso":"eng"}],"date_created":"2020-05-28T16:48:20Z","department":[{"_id":"RoSe"}],"type":"journal_article","day":"03","citation":{"ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979. doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” <i>Inventiones Mathematicae</i>, vol. 225. Springer, pp. 885–979, 2021.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. Springer. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979, doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>."},"quality_controlled":"1","doi":"10.1007/s00222-021-01041-5","oa_version":"Published Version"},{"acknowledgement":"Partial support through National Science Foundation GrantDMS-1363432 (R.L.F.) and the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo 694227; R.S.), is acknowledged. Open access funding enabled and organizedby Projekt DEAL.","external_id":{"isi":["000572991500001"]},"isi":1,"author":[{"full_name":"Frank, Rupert","first_name":"Rupert","last_name":"Frank"},{"orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","page":"544-588","article_processing_charge":"No","year":"2021","publication_identifier":{"issn":["00103640"],"eissn":["10970312"]},"date_published":"2021-03-01T00:00:00Z","status":"public","ddc":["510"],"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"}],"date_updated":"2023-08-04T11:02:16Z","publication_status":"published","ec_funded":1,"_id":"8603","has_accepted_license":"1","publisher":"Wiley","file_date_updated":"2021-03-11T10:03:30Z","publication":"Communications on Pure and Applied Mathematics","month":"03","file":[{"content_type":"application/pdf","relation":"main_file","success":1,"file_size":334987,"checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","file_name":"2021_CommPureApplMath_Frank.pdf","date_created":"2021-03-11T10:03:30Z","file_id":"9236","access_level":"open_access","date_updated":"2021-03-11T10:03:30Z","creator":"dernst"}],"article_type":"original","issue":"3","intvolume":"        74","volume":74,"tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"abstract":[{"text":"We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.","lang":"eng"}],"scopus_import":"1","title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","department":[{"_id":"RoSe"}],"date_created":"2020-10-04T22:01:37Z","language":[{"iso":"eng"}],"citation":{"ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. 2021;74(3):544-588. doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3. Wiley, pp. 544–588, 2021.","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","ista":"Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.","chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2021. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>.","apa":"Frank, R., &#38; Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>","mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>."},"day":"01","type":"journal_article","doi":"10.1002/cpa.21944","quality_controlled":"1","oa_version":"Published Version"},{"oa_version":"Preprint","quality_controlled":"1","doi":"10.2140/paa.2021.3.653","citation":{"ista":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676.","apa":"Leopold, N. K., Mitrouskas, D. J., Rademacher, S. A. E., Schlein, B., &#38; Seiringer, R. (2021). Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>","chicago":"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.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2021. <a href=\"https://doi.org/10.2140/paa.2021.3.653\">https://doi.org/10.2140/paa.2021.3.653</a>.","ieee":"N. K. Leopold, D. J. Mitrouskas, S. A. E. Rademacher, B. Schlein, and R. Seiringer, “Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron,” <i>Pure and Applied Analysis</i>, vol. 3, no. 4. Mathematical Sciences Publishers, pp. 653–676, 2021.","ama":"Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. <i>Pure and Applied Analysis</i>. 2021;3(4):653-676. doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>","short":"N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.","mla":"Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” <i>Pure and Applied Analysis</i>, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:<a href=\"https://doi.org/10.2140/paa.2021.3.653\">10.2140/paa.2021.3.653</a>."},"type":"journal_article","day":"01","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2005.02098","open_access":"1"}],"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"date_created":"2024-01-28T23:01:43Z","title":"Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron","scopus_import":"1","abstract":[{"text":"We consider the Fröhlich Hamiltonian with large coupling constant α. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order α2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account. This allows us to show that the Landau-Pekar equations approximately describe the evolution of the electron- and one-phonon reduced density matrices under the Fröhlich dynamics up to times of order α2.","lang":"eng"}],"volume":3,"intvolume":"         3","issue":"4","article_type":"original","month":"10","publication":"Pure and Applied Analysis","publisher":"Mathematical Sciences Publishers","arxiv":1,"_id":"14889","date_updated":"2024-02-05T10:02:45Z","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"publication_status":"published","ec_funded":1,"article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"653-676","date_published":"2021-10-01T00:00:00Z","status":"public","publication_identifier":{"issn":["2578-5893"],"eissn":["2578-5885"]},"year":"2021","acknowledgement":"Financial support by the European Union’s Horizon 2020 research and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No. 754411 (S.R.) and the European\r\nResearch Council under grant agreement No. 694227 (N.L. and R.S.), as well as by the SNSF\r\nEccellenza project PCEFP2 181153 (N.L.), the NCCR SwissMAP (N.L. and B.S.) and by the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. B.S. gratefully\r\nacknowledges financial support from the Swiss National Science Foundation through the Grant\r\n“Dynamical and energetic properties of Bose-Einstein condensates” and from the European\r\nResearch Council through the ERC-AdG CLaQS (grant agreement No 834782). D.M. thanks\r\nMarcel Griesemer for helpful discussions.","oa":1,"author":[{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","last_name":"Leopold","full_name":"Leopold, Nikolai K","first_name":"Nikolai K","orcid":"0000-0002-0495-6822"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes"},{"id":"856966FE-A408-11E9-977E-802DE6697425","last_name":"Rademacher","orcid":"0000-0001-5059-4466","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert"}],"external_id":{"arxiv":["2005.02098"]}}]