Mean-Field Dynamics of Fermions with Relativistic Dispersion

FM 14-13, arXiv:1311.6270

Authors: Niels Benedikter, Marcello Porta, Benjamin Schlein

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.