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

@article{Sok2014ThePA, title={The positronium and the dipositronium in a Hartree-Fock approximation of quantum electrodynamics}, author={J'er'emy Sok}, journal={Journal of Mathematical Physics}, year={2014}, volume={57}, pages={022304} }

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 characterized by its one-body density matrix, an infinite rank non-negative projector. We prove the existence of the para-positronium, the bound state of an electron and a positron with antiparallel spins, in the BDF model represented by a critical point of the energy functional in the absence of an external…

## 2 Citations

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