# The positronium in a mean-field approximation of quantum electrodynamics.

@article{Sok2014ThePI, title={The positronium in a mean-field approximation of quantum electrodynamics.}, author={J'er'emy Sok}, journal={arXiv: Mathematical Physics}, year={2014} }

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…

## One Citation

### The positronium and the dipositronium in a Hartree-Fock approximation of quantum electrodynamics

- Physics
- 2014

The Bogoliubov-Dirac-Fock (BDF) model is a no-photon approximation of quantum electrodynamics. It allows to study relativistic electrons in interaction with the Dirac sea. A state is fully…

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