Author(s):

Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, HorngTzer

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

Affiliation 

Abstract: 
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⩽T.

Keywords: 
BBGKY hierarchy; HartreeFock theory; Mean field system of fermions; Nonlinear Vlasov equation

Journal Title:

Journal de Mathématiques Pures et Appliquées

Volume: 
83

Issue 
10

ISSN:

00217824

Publisher:

Elsevier

Date Published:

20041001

Start Page: 
1241

End Page:

1273

DOI: 
10.1016/j.matpur.2004.03.006

Open access: 
no 