The positronium in a mean-field approximation of quantum electrodynamics
Mathematical Physics
2014-05-16 v1 math.MP
Abstract
The Bogoliubov-Dirac-Fock (BDF) model is a no-photon, mean-field approxi- mation of quantum electrodynamics. It describes relativistic electrons in the Dirac sea. In this model, a state is fully characterized by its one-body density matrix, an infinite rank nonnegative operator. We prove the existence of the positronium, the bound state of an electron and a positron, represented by a critical point of the energy functional in the absence of external field. This state is interpreted as the ortho-positronium, where the two particles have parallel spins.
Keywords
Cite
@article{arxiv.1405.3928,
title = {The positronium in a mean-field approximation of quantum electrodynamics},
author = {Jérémy Sok},
journal= {arXiv preprint arXiv:1405.3928},
year = {2014}
}