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Title: Mean-field dynamics of fermions with relativistic dispersion

We extend the derivation of the time-dependent Hartree-Fock equation recently obtained by Benedikter et al. [“Mean-field evolution of fermionic systems,” Commun. Math. Phys. (to be published)] 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.
Authors:
; ;  [1]
  1. Institute of Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115 Bonn (Germany)
Publication Date:
OSTI Identifier:
22251570
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMMUTATORS; FERMIONS; HARTREE-FOCK METHOD; MEAN-FIELD THEORY; RELATIVISTIC RANGE; SEMICLASSICAL APPROXIMATION; TIME DEPENDENCE