On the Hartree-Fock equations of the electron/positron field

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1007/s00220-004-1156-x

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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