Semi-classical limit of large fermionic systems at positive temperature

被引：4
|
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
收藏
页数：31
相关论文
共 50 条
12345