Claude Bardos, Francois Golse, Alex D Gottlieb, Norbert J Mauser
Mean field dynamics of fermions and the time-dependent Hartree-Fock equation
(53K, LaTeX)
ABSTRACT. The time-dependent Hartree-Fock equation is derived, in a mean field limit, from the Hamiltonian dynamics of systems of
fermions.
We follow the approach of Herbert Spohn, who
derived the time-dependent
Hartree equation for mean field systems of distinguishable
particles, and remarked at the time (1980) that ``the convergence of the
mean field limit with statistics included is an open
problem."