Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential

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...

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Autores principales: Benedikter, Niels, Porta, Marcello, Schlein, Benjamin, Seiringer, Robert
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10322800/
https://www.ncbi.nlm.nih.gov/pubmed/37426631
http://dx.doi.org/10.1007/s00205-023-01893-6
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author Benedikter, Niels
Porta, Marcello
Schlein, Benjamin
Seiringer, Robert
author_facet Benedikter, Niels
Porta, Marcello
Schlein, Benjamin
Seiringer, Robert
author_sort Benedikter, Niels
collection PubMed
description 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 [Formula: see text] . 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.
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spelling pubmed-103228002023-07-07 Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential Benedikter, Niels Porta, Marcello Schlein, Benjamin Seiringer, Robert Arch Ration Mech Anal Original Article 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 [Formula: see text] . 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. Springer Berlin Heidelberg 2023-07-05 2023 /pmc/articles/PMC10322800/ /pubmed/37426631 http://dx.doi.org/10.1007/s00205-023-01893-6 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Article
Benedikter, Niels
Porta, Marcello
Schlein, Benjamin
Seiringer, Robert
Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
title Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
title_full Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
title_fullStr Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
title_full_unstemmed Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
title_short Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential
title_sort correlation energy of a weakly interacting fermi gas with large interaction potential
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10322800/
https://www.ncbi.nlm.nih.gov/pubmed/37426631
http://dx.doi.org/10.1007/s00205-023-01893-6
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