{
  "id": "1404.3098",
  "version": "v1",
  "published": "2014-04-11T13:12:46.000Z",
  "updated": "2014-04-11T13:12:46.000Z",
  "title": "Kohn-Sham Theory in the Presence of Magnetic Field",
  "authors": [
    "Andre Laestadius"
  ],
  "comment": "15 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "physics.chem-ph",
    "quant-ph"
  ],
  "abstract": "In the well-known Kohn-Sham theory in Density Functional Theory, a fictitious non-interacting system is introduced that has the same particle density as a system of $N$ electrons subjected to mutual Coulomb repulsion and an external electric field. For a long time, the treatment of the kinetic energy was not correct and the theory was not well-defined for $N$-representable particle densities. In the work of [Hadjisavvas and Theophilou, Phys. Rev. A, 1984, 30, 2183], a rigorous Kohn-Sham theory for $N$-representable particle densities was developed using the Levy-Lieb functional. Since a Levy-Lieb-type functional can be defined for Current Density Functional Theory formulated with the paramagnetic current density, we here develop a rigorous $N$-representable Kohn-Sham approach for interacting electrons in magnetic field. Furthermore, in the one-electron case, criteria for $N$-representable particle densities to be $v$-representable are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-11T13:12:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "particle density",
      "representable particle densities",
      "well-known kohn-sham theory",
      "current density functional theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.3098L"
    }
  }
}