- 08-198 Juerg Froehlich, Antti Knowles
- A Microscopic Derivation of the Time-Dependent Hartree-Fock Equation with Coulomb Two-Body Interaction
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Oct 24, 08
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Abstract. We study the dynamics of a Fermi gas with a Coulomb interaction potential, and show that, in a mean-field limiting regime, the dynamics is described by the Hartree-Fock equation. This extends previous work of Bardos et al. to the case of unbounded interaction potentials. We also express the mean-field limit as a ``superhamiltonian'' system, and state our main result in terms of a Heisenberg-picture dynamics of observables. This is a Egorov-type theorem.