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

نویسندگان

  • J. - M. BARBAROUX
  • B. HELFFER
  • H. SIEDENTOP
چکیده

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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تاریخ انتشار 2008