Affordable Access

deepdyve-link
Publisher Website

Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation

Authors
  • Hainzl, Christian
  • Lewin, Mathieu
  • Sparber, Christof
Type
Preprint
Publication Date
Apr 19, 2005
Submission Date
Dec 07, 2004
Identifiers
DOI: 10.1007/s11005-005-4377-9
Source
arXiv
License
Unknown
External links

Abstract

We consider a generalized Dirac-Fock type evolution equation deduced from no-photon Quantum Electrodynamics, which describes the self-consistent time-evolution of relativistic electrons, the observable ones as well as those filling up the Dirac sea. This equation has been originally introduced by Dirac in 1934 in a simplified form. Since we work in a Hartree-Fock type approximation, the elements describing the physical state of the electrons are infinite rank projectors. Using the Bogoliubov-Dirac-Fock formalism, introduced by Chaix-Iracane ({\it J. Phys. B.}, 22, 3791--3814, 1989), and recently established by Hainzl-Lewin-Sere, we prove the existence of global-in-time solutions of the considered evolution equation.

Report this publication

Statistics

Seen <100 times