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

Elgart, Alexander; Erdos, Laszlo; Schlein, Benjamin; Yau, Horng-Tzer

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

Authors

Description

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.
latex file, 31 pages