02-249 Claude Bardos, Francois Golse, Alex D Gottlieb, Norbert J Mauser

Mean field dynamics of fermions and the time-dependent Hartree-Fock equation (53K, LaTeX) Jun 1, 02

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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."

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