Semi-classical limit of large fermionic systems at positive temperature

被引：5

作者：

Lewin, Mathieu ^{[1
,2
]}

Madsen, Peter S. ^{[3
]}

Triay, Arnaud ^{[2
]}

机构：

[1] PSL Univ, Paris Dauphine Univ, CNRS, F-75016 Paris, France

[2] PSL Univ, Paris Dauphine Univ, CEPEMADE, F-75016 Paris, France

[3] Aarhus Univ, Dept Math, Ny Munkegade 118, DK-8000 Aarhus C, Denmark

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 09期

基金：

欧洲研究理事会;

关键词：

HARTREE-FOCK THEORY; MEAN-FIELD; ASYMPTOTIC EXACTNESS; STATISTICAL-THEORY; EQUATION; DYNAMICS; DERIVATION; COLLAPSE; ENERGY; STATE;

D O I：

10.1063/1.5094397

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a system of N interacting fermions at positive temperature in a confining potential. In the regime where the intensity of the interaction scales as 1/N and with an effective semiclassical parameter PLANCK CONSTANT OVER TWO PI = N-1/d where d is the space dimension, we prove the convergence to the corresponding Thomas-Fermi model at positive temperature.

引用

页数：31

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