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Mean-Field Dynamics of Fermions with Relativistic Dispersion

arXiv:1311.6270 · doi:10.1063/1.4863349

Abstract

We extend the derivation of the time-dependent Hartree-Fock equation recently obtained in [2] to fermions with a relativistic dispersion law. The main new ingredient is the propagation of semiclassical commutator bounds along the pseudo-relativistic Hartree-Fock evolution.

11 pages