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

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

2007-06-11

arxiv.org/abs/0706.1486v1

Physics

Atomic Physics

18 pages, 3 figures

Scientific paper

10.1103/PhysRevA.76.052104

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.

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