Article Dans Une Revue Communications in Mathematical Physics Année : 2005

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

Résumé

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

Fichier principal
Vignette du fichier
0404009.pdf (352.34 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-00008350 , version 1 (11-10-2023)

Licence

Identifiants

Citer

Jean-Marie Barbaroux, Walter Farkas, Bernard Helffer, Heinz Siedentop. On the Hartree-Fock equations of the electron-positron field. Communications in Mathematical Physics, 2005, 255, pp.131-159. ⟨10.1007/s00220-004-1156-x⟩. ⟨hal-00008350⟩
222 Consultations
96 Téléchargements

Altmetric

Partager

  • More