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

  title={The positronium and the dipositronium in a Hartree-Fock approximation of quantum electrodynamics},
  author={J'er'emy Sok},
  journal={Journal of Mathematical Physics},
  • J'er'emy Sok
  • Published 7 July 2014
  • Physics
  • Journal of Mathematical Physics
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… 
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