Mean-Field Dynamics of Fermions with Relativistic Dispersion
Mathematical Physics
2015-06-18 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1311.6270,
title = {Mean-Field Dynamics of Fermions with Relativistic Dispersion},
author = {Niels Benedikter and Marcello Porta and Benjamin Schlein},
journal= {arXiv preprint arXiv:1311.6270},
year = {2015}
}
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11 pages