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

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dc.creatorBarbaroux, J. -M.
dc.creatorFarkas, W.
dc.creatorHelffer, B.
dc.creatorSiedentop, H.
dc.date2004-04-02
dc.date.accessioned2026-07-07T07:56:14Z
dc.date.available2026-07-07T07:56:14Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math-ph/0404009
dc.identifierhttp://arxiv.org/abs/math-ph/0404009
dc.identifierCommun. Math. Phys. 255, 131-159 (2004)
dc.identifierdoi:10.1007/s00220-004-1156-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127237
dc.subjectMathematical Physics
dc.subject81V45; 34L40
dc.titleOn the Hartree-Fock equations of the electron/positron field
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