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

Solovej, Jan Philip; Séré, Eric; Lewin, Mathieu; Hainzl, Christian

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

Number

Publisher

APS

Pages

52-104

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