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Title: Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics

Abstract

We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles such as electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The model is derived from the QED Hamiltonian in Coulomb gauge neglecting the photon field. All our results are nonperturbative and mathematically rigorous.

Authors:
; ; ;  [1];  [2];  [2];  [3]
  1. University of Alabama, Birmingham, Alabama 35294 (United States)
  2. (France)
  3. (Denmark)
Publication Date:
OSTI Identifier:
21027948
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 76; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.76.052104; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; APPROXIMATIONS; CORRECTIONS; DISTURBANCES; ELECTRONS; FERMIONS; HAMILTONIANS; MEAN-FIELD THEORY; MINIMIZATION; PARTICLES; PHOTONS; QUANTUM ELECTRODYNAMICS; RELATIVISTIC RANGE; SPIN

Citation Formats

Hainzl, Christian, Lewin, Mathieu, Sere, Eric, Solovej, Jan Philip, CNRS and Universite de Cergy-Pontoise, Laboratoire 'AGM' UMR8088, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, Universite Paris Dauphine, CEREMADE UMR7534, Place du Marechal de Lattre de Tassigny, 75775 Paris Cedex 16, and Department of Mathematics, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen. Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.052104.
Hainzl, Christian, Lewin, Mathieu, Sere, Eric, Solovej, Jan Philip, CNRS and Universite de Cergy-Pontoise, Laboratoire 'AGM' UMR8088, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, Universite Paris Dauphine, CEREMADE UMR7534, Place du Marechal de Lattre de Tassigny, 75775 Paris Cedex 16, & Department of Mathematics, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen. Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics. United States. doi:10.1103/PHYSREVA.76.052104.
Hainzl, Christian, Lewin, Mathieu, Sere, Eric, Solovej, Jan Philip, CNRS and Universite de Cergy-Pontoise, Laboratoire 'AGM' UMR8088, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, Universite Paris Dauphine, CEREMADE UMR7534, Place du Marechal de Lattre de Tassigny, 75775 Paris Cedex 16, and Department of Mathematics, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen. Thu . "Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics". United States. doi:10.1103/PHYSREVA.76.052104.
@article{osti_21027948,
title = {Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics},
author = {Hainzl, Christian and Lewin, Mathieu and Sere, Eric and Solovej, Jan Philip and CNRS and Universite de Cergy-Pontoise, Laboratoire 'AGM' UMR8088, 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex and Universite Paris Dauphine, CEREMADE UMR7534, Place du Marechal de Lattre de Tassigny, 75775 Paris Cedex 16 and Department of Mathematics, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen},
abstractNote = {We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles such as electrons and of the Dirac sea which is self-consistently polarized in the presence of the real particles. The model is derived from the QED Hamiltonian in Coulomb gauge neglecting the photon field. All our results are nonperturbative and mathematically rigorous.},
doi = {10.1103/PHYSREVA.76.052104},
journal = {Physical Review. A},
number = 5,
volume = 76,
place = {United States},
year = {Thu Nov 15 00:00:00 EST 2007},
month = {Thu Nov 15 00:00:00 EST 2007}
}
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