Mean-Field Dynamics of Fermions with Relativistic Dispersion

Published 25 Nov 2013 in math-ph and math.MP | (1311.6270v1)

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.

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