Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
Mathematical Physics
2007-05-23 v1 math.MP
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 non-linear Hartree equation is of order 1/N for any time t less or equal T.
Keywords
Cite
@article{arxiv.math-ph/0311043,
title = {Nonlinear Hartree equation as the mean field limit of weakly coupled fermions},
author = {Alexander Elgart and Laszlo Erdos and Benjamin Schlein and Horng-Tzer Yau},
journal= {arXiv preprint arXiv:math-ph/0311043},
year = {2007}
}
Comments
latex file, 31 pages