**
Below is the ascii version of the abstract for 03-511.
The html version should be ready soon.**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.