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

Benedikter, Niels
•
Porta, Marcello
•
Schlein, Benjamin
•
Seiringer, Robert
2023
  • journal article

Periodico
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Abstract
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 | center dot | (V) over cap epsilon l(1)(Z(3)). 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.
DOI
10.1007/s00205-023-01893-6
WOS
WOS:001024369000001
Archivio
https://hdl.handle.net/20.500.11767/135152
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85163963084
https://arxiv.org/abs/2005.08933
https://ricerca.unityfvg.it/handle/20.500.11767/135152
Diritti
open access
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