{
  "id": "math-ph/0402058",
  "version": "v3",
  "published": "2004-02-21T11:24:03.000Z",
  "updated": "2004-09-02T08:54:24.000Z",
  "title": "Some connections between Dirac-Fock and Electron-Positron Hartree-Fock",
  "authors": [
    "Jean-Marie Barbaroux",
    "Maria J. Esteban",
    "Eric Séré"
  ],
  "doi": "10.1007/s00023-005-0199-7",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the ground state solutions of the Dirac-Fock model in the case of weak electronic repulsion, using bifurcation theory. They are solutions of a min-max problem. Then we investigate a max-min problem coming from the electron-positron field theory of Bach-Barbaroux-Helffer-Siedentop. We show that given a radially symmetric nuclear charge, the ground state of Dirac-Fock solves this max-min problem for certain numbers of electrons. But we also exhibit a situation in which the max-min level does not correspond to a solution of the Dirac-Fock equations together with its associated self-consistent projector.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-09-02T08:54:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electron-positron hartree-fock",
      "connections",
      "max-min problem",
      "radially symmetric nuclear charge",
      "electron-positron field theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005AnHP....6...85B"
    }
  }
}