On the Hartree-fock Equations of the Electron-positron Field

@inproceedings{FarkasOnTH,
  title={On the Hartree-fock Equations of the Electron-positron Field},
  author={Walter Farkas and Bernard Helffer}
}
We study the energy of relativistic electrons and positrons interacting via the second quantized Coulomb potential in the field of a nucleus of charge Z within the Hartree-Fock approximation. We show that the associated functional has a minimizer. In addition, all minimizers are purely electronic states, they are projections, and fulfill the no-pair Dirac-Fock equations. 

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