A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics
Atomic Physics
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0706.1486,
title = {A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics},
author = {Christian Hainzl and Mathieu Lewin and Eric Sere and Jan Philip Solovej},
journal= {arXiv preprint arXiv:0706.1486},
year = {2009}
}