Nonlinear Hartree equation as the mean field limit of weakly coupled fermions

被引：59

作者：

Elgart, A ^{[1
]}

Erdös, L

Schlein, B

Yau, HT

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] Univ Munich, Inst Math, D-80333 Munich, Germany

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2004年 / 83卷 / 10期

基金：

美国国家科学基金会;

关键词：

nonlinear Vlasov equation; mean field system of fermions; BBGKY hierarchy; Hartree-Fock theory;

D O I：

10.1016/j.matpur.2004.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a system of N weakly interacting fermions with a real analytic pair interaction. We prove that for a general class of initial data there exists a fixed time T such that the difference between the one particle density matrix of this system and the solution of the nonlinear Hartree equation is of order N-1 for any time t less than or equal to T. (C) 2004 Elsevier SAS. All rights reserved.

引用

收藏

页码：1241 / 1273

页数：33

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