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A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics

Solovej, Jan Philip; Séré, Eric; Lewin, Mathieu; Hainzl, Christian (2007), A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics, Physical Review. A, Atomic, Molecular and Optical Physics, 76, 5, p. 52-104. http://dx.doi.org/10.1103/PhysRevA.76.052104

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00154275/en/
Date
2007-06
Journal name
Physical Review. A, Atomic, Molecular and Optical Physics
Volume
76
Number
5
Publisher
APS
Pages
52-104
Publication identifier
http://dx.doi.org/10.1103/PhysRevA.76.052104
Metadata
Show full item record
Author(s)
Solovej, Jan Philip
Séré, Eric
Lewin, Mathieu cc
Hainzl, Christian
Abstract (EN)
We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles like 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 non-perturbative and mathematically rigorous.
Subjects / Keywords
Physics; Atomic Physics; Mathematical Physics; Mathematics

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