Niels Benedikter, Marcello Porta, Benjamin Schlein
Published 2013-11-25Version 1
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.
Two Comments on the Derivation of the Time-Dependent Hartree-Fock Equation
Mean-Field Dynamics: Singular Potentials and Rate of Convergence
Mean field dynamics of fermions and the time-dependent Hartree-Fock equation
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