[{"OA_type":"green","OA_place":"repository","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1002/cpa.70039","article_processing_charge":"No","publisher":"Wiley","date_published":"2026-01-01T00:00:00Z","title":"Liquid drop model for nuclear matter in the low density limit","scopus_import":"1","author":[{"last_name":"Frank","full_name":"Frank, Rupert L.","first_name":"Rupert L."},{"full_name":"Lewin, Mathieu","first_name":"Mathieu","last_name":"Lewin"},{"first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"month":"01","abstract":[{"lang":"eng","text":"We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the dilute limit. Our proof justifies the expectation that optimal configurations consist of droplets of unit size that arrange themselves according to minimizers for the Jellium problem for point particles. In particular, we provide the first rigorous derivation of what is known as the gnocchi phase in astrophysics."}],"fulldoi":"https://doi.org/10.1002/cpa.70039","type":"journal_article","publication_identifier":{"issn":["0010-3640"],"eissn":["1097-0312"]},"publication_status":"epub_ahead","article_type":"original","language":[{"iso":"eng"}],"external_id":{"arxiv":["2507.14012"]},"date_updated":"2026-06-02T06:58:54Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2507.14012","open_access":"1"}],"_id":"21933","oa":1,"date_created":"2026-05-31T22:02:13Z","status":"public","oa_version":"Preprint","arxiv":1,"day":"01","publication":"Communications on Pure and Applied Mathematics","citation":{"ista":"Frank RL, Lewin M, Seiringer R. 2026. Liquid drop model for nuclear matter in the low density limit. Communications on Pure and Applied Mathematics.","chicago":"Frank, Rupert L., Mathieu Lewin, and Robert Seiringer. “Liquid Drop Model for Nuclear Matter in the Low Density Limit.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2026. <a href=\"https://doi.org/10.1002/cpa.70039\">https://doi.org/10.1002/cpa.70039</a>.","short":"R.L. Frank, M. Lewin, R. Seiringer, Communications on Pure and Applied Mathematics (2026).","ama":"Frank RL, Lewin M, Seiringer R. Liquid drop model for nuclear matter in the low density limit. <i>Communications on Pure and Applied Mathematics</i>. 2026. doi:<a href=\"https://doi.org/10.1002/cpa.70039\">10.1002/cpa.70039</a>","ieee":"R. L. Frank, M. Lewin, and R. Seiringer, “Liquid drop model for nuclear matter in the low density limit,” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2026.","mla":"Frank, Rupert L., et al. “Liquid Drop Model for Nuclear Matter in the Low Density Limit.” <i>Communications on Pure and Applied Mathematics</i>, Wiley, 2026, doi:<a href=\"https://doi.org/10.1002/cpa.70039\">10.1002/cpa.70039</a>.","apa":"Frank, R. L., Lewin, M., &#38; Seiringer, R. (2026). Liquid drop model for nuclear matter in the low density limit. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.70039\">https://doi.org/10.1002/cpa.70039</a>"},"department":[{"_id":"RoSe"}],"year":"2026"},{"file_date_updated":"2026-07-27T11:38:57Z","abstract":[{"text":"We study the ground state energy of a gas of spin 1/2 fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density e, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low-density expansion, and in particular the Huang–Yang correction term of order e^7/3. Our trial state is constructed using an adaptation of the bosonic Bogoliubov theory to the Fermi system, where the correlation structure of fermionic particles is incorporated by quasi-bosonic Bogoliubov transformations. In the latter, it is important to consider a modified zero-energy scattering equation that takes into account the presence of the Fermi sea, in the spirit of the Bethe–Goldstone equation.","lang":"eng"}],"type":"journal_article","fulldoi":"https://doi.org/10.1002/cpa.70040","author":[{"full_name":"Giacomelli, Emanuela L.","first_name":"Emanuela L.","last_name":"Giacomelli"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"full_name":"Nam, Phan Thành","first_name":"Phan Thành","last_name":"Nam"},{"full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"month":"08","researchdata_availability":"no","intvolume":"        79","date_published":"2026-08-01T00:00:00Z","title":"The Huang–Yang formula for the low-density Fermi gas: Upper bound","publisher":"Wiley","page":"1919-1972","scopus_import":"1","acknowledgement":"We thank the referees for valuable remarks. This work was partially funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) via the TRR 352 – Project-ID 470903074. PTN was partially supported by the European Research Council via the ERC Consolidator Grant RAMBAS – Project-Nr. 10104424.\r\nOpen access publishing facilitated by Università degli Studi di Milano, as part of the Wiley - CRUI-CARE agreement.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","OA_place":"publisher","OA_type":"hybrid","quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","doi":"10.1002/cpa.70040","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"volume":79,"department":[{"_id":"RoSe"}],"citation":{"ieee":"E. L. Giacomelli, C. Hainzl, P. T. Nam, and R. Seiringer, “The Huang–Yang formula for the low-density Fermi gas: Upper bound,” <i>Communications on Pure and Applied Mathematics</i>, vol. 79, no. 8. Wiley, pp. 1919–1972, 2026.","chicago":"Giacomelli, Emanuela L., Christian Hainzl, Phan Thành Nam, and Robert Seiringer. “The Huang–Yang Formula for the Low-Density Fermi Gas: Upper Bound.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2026. <a href=\"https://doi.org/10.1002/cpa.70040\">https://doi.org/10.1002/cpa.70040</a>.","short":"E.L. Giacomelli, C. Hainzl, P.T. Nam, R. Seiringer, Communications on Pure and Applied Mathematics 79 (2026) 1919–1972.","ista":"Giacomelli EL, Hainzl C, Nam PT, Seiringer R. 2026. The Huang–Yang formula for the low-density Fermi gas: Upper bound. Communications on Pure and Applied Mathematics. 79(8), 1919–1972.","ama":"Giacomelli EL, Hainzl C, Nam PT, Seiringer R. The Huang–Yang formula for the low-density Fermi gas: Upper bound. <i>Communications on Pure and Applied Mathematics</i>. 2026;79(8):1919-1972. doi:<a href=\"https://doi.org/10.1002/cpa.70040\">10.1002/cpa.70040</a>","mla":"Giacomelli, Emanuela L., et al. “The Huang–Yang Formula for the Low-Density Fermi Gas: Upper Bound.” <i>Communications on Pure and Applied Mathematics</i>, vol. 79, no. 8, Wiley, 2026, pp. 1919–72, doi:<a href=\"https://doi.org/10.1002/cpa.70040\">10.1002/cpa.70040</a>.","apa":"Giacomelli, E. L., Hainzl, C., Nam, P. T., &#38; Seiringer, R. (2026). The Huang–Yang formula for the low-density Fermi gas: Upper bound. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.70040\">https://doi.org/10.1002/cpa.70040</a>"},"year":"2026","oa_version":"Published Version","status":"public","date_created":"2026-03-22T23:04:33Z","_id":"21472","oa":1,"date_updated":"2026-07-27T11:40:33Z","day":"01","publication":"Communications on Pure and Applied Mathematics","arxiv":1,"ddc":["510"],"issue":"8","language":[{"iso":"eng"}],"article_type":"original","external_id":{"arxiv":["2409.17914"]},"file":[{"date_created":"2026-07-27T11:38:57Z","file_name":"2026_CommPureApplMath_Giacomelli.pdf","content_type":"application/pdf","date_updated":"2026-07-27T11:38:57Z","access_level":"open_access","file_id":"22423","creator":"dernst","success":1,"file_size":2224756,"relation":"main_file","checksum":"4ef624157c2f6cb837be229dd6b912cc"}],"publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"has_accepted_license":"1","publication_status":"published","das_tickbox":"0","supplementarymaterial":"no"},{"year":"2024","project":[{"grant_number":"101020331","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"department":[{"_id":"LaEr"}],"citation":{"mla":"Erdös, László, and Hong Chang Ji. “Wegner Estimate and Upper Bound on the Eigenvalue Condition Number of Non-Hermitian Random Matrices.” <i>Communications on Pure and Applied Mathematics</i>, vol. 77, no. 9, Wiley, 2024, pp. 3785–840, doi:<a href=\"https://doi.org/10.1002/cpa.22201\">10.1002/cpa.22201</a>.","apa":"Erdös, L., &#38; Ji, H. C. (2024). Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.22201\">https://doi.org/10.1002/cpa.22201</a>","ieee":"L. Erdös and H. C. Ji, “Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices,” <i>Communications on Pure and Applied Mathematics</i>, vol. 77, no. 9. Wiley, pp. 3785–3840, 2024.","ista":"Erdös L, Ji HC. 2024. Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 77(9), 3785–3840.","chicago":"Erdös, László, and Hong Chang Ji. “Wegner Estimate and Upper Bound on the Eigenvalue Condition Number of Non-Hermitian Random Matrices.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2024. <a href=\"https://doi.org/10.1002/cpa.22201\">https://doi.org/10.1002/cpa.22201</a>.","short":"L. Erdös, H.C. Ji, Communications on Pure and Applied Mathematics 77 (2024) 3785–3840.","ama":"Erdös L, Ji HC. Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. <i>Communications on Pure and Applied Mathematics</i>. 2024;77(9):3785-3840. doi:<a href=\"https://doi.org/10.1002/cpa.22201\">10.1002/cpa.22201</a>"},"tmp":{"name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"volume":77,"publication":"Communications on Pure and Applied Mathematics","day":"01","arxiv":1,"_id":"15378","oa":1,"date_created":"2024-05-12T22:01:02Z","date_updated":"2026-10-16T08:35:46Z","oa_version":"Published Version","status":"public","file":[{"access_level":"open_access","file_id":"18803","content_type":"application/pdf","date_updated":"2025-01-09T09:36:41Z","date_created":"2025-01-09T09:36:41Z","file_name":"2024_CommPureApplMath_Erdoes.pdf","file_size":566963,"relation":"main_file","checksum":"fbcc9cc7bf274f024e4f4afc9c208f96","success":1,"creator":"dernst"}],"external_id":{"arxiv":["2301.04981"],"isi":["001217139900001"]},"issue":"9","language":[{"iso":"eng"}],"article_type":"original","ddc":["510"],"supplementarymaterial":"yes","publication_status":"published","das_tickbox":"0","has_accepted_license":"1","publication_identifier":{"issn":["0010-3640"],"eissn":["1097-0312"]},"fulldoi":"https://doi.org/10.1002/cpa.22201","type":"journal_article","file_date_updated":"2025-01-09T09:36:41Z","abstract":[{"lang":"eng","text":"We consider N×N non-Hermitian random matrices of the form X+A, where A is a general deterministic matrix and N−−√X consists of independent entries with zero mean, unit variance, and bounded densities. For this ensemble, we prove (i) a Wegner estimate, i.e. that the local density of eigenvalues is bounded by N1+o(1) and (ii) that the expected condition number of any bulk eigenvalue is bounded by N1+o(1); both results are optimal up to the factor No(1). The latter result complements the very recent matching lower bound obtained in [15] (arXiv:2301.03549) and improves the N-dependence of the upper bounds in [5,6,32] (arXiv:1906.11819, arXiv:2005.08930, arXiv:2005.08908). Our main ingredient, a near-optimal lower tail estimate for the small singular values of X+A−z, is of independent interest."}],"isi":1,"ec_funded":1,"researchdata_availability":"no","month":"09","author":[{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Ji","id":"dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d","first_name":"Hong Chang","full_name":"Ji, Hong Chang"}],"page":"3785-3840","scopus_import":"1","publisher":"Wiley","intvolume":"        77","date_published":"2024-09-01T00:00:00Z","title":"Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices","article_processing_charge":"Yes (via OA deal)","doi":"10.1002/cpa.22201","quality_controlled":"1","corr_author":"1","OA_type":"hybrid","acknowledgement":"László Erdős is partially supported by ERC Advanced Grant “RMTBeyond” No. 101020331. Hong Chang Ji is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","OA_place":"publisher"},{"oa_version":"Published Version","status":"public","oa":1,"_id":"10405","date_created":"2021-12-05T23:01:41Z","date_updated":"2025-03-31T16:00:54Z","arxiv":1,"day":"01","publication":"Communications on Pure and Applied Mathematics","volume":76,"tmp":{"name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"department":[{"_id":"LaEr"}],"citation":{"short":"G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.","ama":"Cipolloni G, Erdös L, Schröder DJ. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. <i>Communications on Pure and Applied Mathematics</i>. 2023;76(5):946-1034. doi:<a href=\"https://doi.org/10.1002/cpa.22028\">10.1002/cpa.22028</a>","ista":"Cipolloni G, Erdös L, Schröder DJ. 2023. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 76(5), 946–1034.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Central Limit Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2023. <a href=\"https://doi.org/10.1002/cpa.22028\">https://doi.org/10.1002/cpa.22028</a>.","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices,” <i>Communications on Pure and Applied Mathematics</i>, vol. 76, no. 5. Wiley, pp. 946–1034, 2023.","mla":"Cipolloni, Giorgio, et al. “Central Limit Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices.” <i>Communications on Pure and Applied Mathematics</i>, vol. 76, no. 5, Wiley, 2023, pp. 946–1034, doi:<a href=\"https://doi.org/10.1002/cpa.22028\">10.1002/cpa.22028</a>.","apa":"Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2023). Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.22028\">https://doi.org/10.1002/cpa.22028</a>"},"project":[{"call_identifier":"FP7","grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"},{"grant_number":"665385","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program"}],"year":"2023","publication_identifier":{"issn":["0010-3640"],"eissn":["1097-0312"]},"has_accepted_license":"1","publication_status":"published","ddc":["510"],"issue":"5","language":[{"iso":"eng"}],"article_type":"original","external_id":{"isi":["000724652500001"],"arxiv":["1912.04100"]},"file":[{"success":1,"creator":"dernst","file_size":803440,"relation":"main_file","checksum":"8346bc2642afb4ccb7f38979f41df5d9","date_updated":"2023-10-04T09:21:48Z","content_type":"application/pdf","date_created":"2023-10-04T09:21:48Z","file_name":"2023_CommPureMathematics_Cipolloni.pdf","access_level":"open_access","file_id":"14388"}],"author":[{"id":"42198EFA-F248-11E8-B48F-1D18A9856A87","last_name":"Cipolloni","first_name":"Giorgio","full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992"},{"orcid":"0000-0001-5366-9603","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","first_name":"László"},{"full_name":"Schröder, Dominik J","first_name":"Dominik J","last_name":"Schröder","id":"408ED176-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2904-1856"}],"month":"05","ec_funded":1,"isi":1,"file_date_updated":"2023-10-04T09:21:48Z","abstract":[{"lang":"eng","text":"We consider large non-Hermitian random matrices X with complex, independent, identically distributed centred entries and show that the linear statistics of their eigenvalues are asymptotically Gaussian for test functions having 2+ϵ derivatives. Previously this result was known only for a few special cases; either the test functions were required to be analytic [72], or the distribution of the matrix elements needed to be Gaussian [73], or at least match the Gaussian up to the first four moments [82, 56]. We find the exact dependence of the limiting variance on the fourth cumulant that was not known before. The proof relies on two novel ingredients: (i) a local law for a product of two resolvents of the Hermitisation of X with different spectral parameters and (ii) a coupling of several weakly dependent Dyson Brownian motions. These methods are also the key inputs for our analogous results on the linear eigenvalue statistics of real matrices X that are presented in the companion paper [32]. "}],"type":"journal_article","fulldoi":"https://doi.org/10.1002/cpa.22028","acknowledgement":"L.E. would like to thank Nathanaël Berestycki and D.S.would like to thank Nina Holden for valuable discussions on the Gaussian freefield.G.C. and L.E. are partially supported by ERC Advanced Grant No. 338804.G.C. received funding from the European Union’s Horizon 2020 research and in-novation programme under the Marie Skłodowska-Curie Grant Agreement No.665385. D.S. is supported by Dr. Max Rössler, the Walter Haefner Foundation, and the ETH Zürich Foundation.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","corr_author":"1","article_processing_charge":"Yes (via OA deal)","doi":"10.1002/cpa.22028","intvolume":"        76","title":"Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices","date_published":"2023-05-01T00:00:00Z","publisher":"Wiley","page":"946-1034","scopus_import":"1"},{"publication_identifier":{"issn":["0010-3640"],"eissn":["1097-0312"]},"has_accepted_license":"1","publication_status":"published","ddc":["510"],"issue":"3","language":[{"iso":"eng"}],"article_type":"original","external_id":{"isi":["000572991500001"]},"file":[{"relation":"main_file","file_size":334987,"checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","success":1,"creator":"dernst","access_level":"open_access","file_id":"9236","content_type":"application/pdf","date_updated":"2021-03-11T10:03:30Z","date_created":"2021-03-11T10:03:30Z","file_name":"2021_CommPureApplMath_Frank.pdf"}],"oa_version":"Published Version","status":"public","oa":1,"_id":"8603","date_created":"2020-10-04T22:01:37Z","date_updated":"2025-07-10T11:57:12Z","publication":"Communications on Pure and Applied Mathematics","day":"01","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"volume":74,"department":[{"_id":"RoSe"}],"citation":{"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>.","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>","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.","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>.","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","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>"},"project":[{"call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems"}],"year":"2021","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.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","article_processing_charge":"No","doi":"10.1002/cpa.21944","intvolume":"        74","title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","date_published":"2021-03-01T00:00:00Z","publisher":"Wiley","page":"544-588","scopus_import":"1","month":"03","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert"}],"ec_funded":1,"isi":1,"file_date_updated":"2021-03-11T10:03:30Z","abstract":[{"lang":"eng","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."}],"type":"journal_article","fulldoi":"https://doi.org/10.1002/cpa.21944"}]