Data di Pubblicazione:
2023
Citazione:
Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential / N. Benedikter, M. Porta, B. Schlein, R. Seiringer. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 1432-0673. - 247:4(2023 Aug), pp. 65.1-65.57. [10.1007/s00205-023-01893-6]
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.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
N. Benedikter, M. Porta, B. Schlein, R. Seiringer
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