Alexander Elgart, Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Nonlinear Hartree equation as the mean field limit of weakly 
coupled fermions
(85K, LaTeX)

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 to T.