{
  "id": "1305.4880",
  "version": "v2",
  "published": "2013-05-21T16:49:04.000Z",
  "updated": "2015-11-15T15:36:44.000Z",
  "title": "Higher order Schrodinger and Hartree-Fock equations",
  "authors": [
    "Rémi Carles",
    "Wolfgang Lucha",
    "Emmanuel Moulay"
  ],
  "comment": "19 pages, to appear in J. Math. Phys",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "The domain of validity of the higher-order Schrodingerequations is analyzed for harmonic-oscillator and Coulombpotentials as typical examples. Then the Cauchy theory forhigher-order Hartree-Fock equations with~bounded and Coulombpotentials is developed. Finally, the existence of associated groundstates for the odd-order equations is proved. This renders thesequantum equations relevant for physics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-21T16:49:04.000Z",
      "abstract": "In this article, we extend the domain of validity of the higher order Schrodinger equations to the use of a Coulomb potential. Then we develop the higher order Hartree-Fock equations with bounded and Coulomb potentials.",
      "comment": "12 pages",
      "journal": null,
      "doi": null,
      "authors": [
        "Rémi Carles",
        "Emmanuel Moulay"
      ]
    },
    {
      "version": "v2",
      "updated": "2015-11-15T15:36:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher order hartree-fock equations",
      "coulomb potential",
      "higher order schrodinger equations"
    ],
    "publication": {
      "doi": "10.1063/1.4936646"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.4880C",
      "inspire": 1404927
    }
  }
}