{
  "id": "1311.6270",
  "version": "v1",
  "published": "2013-11-25T11:46:30.000Z",
  "updated": "2013-11-25T11:46:30.000Z",
  "title": "Mean-Field Dynamics of Fermions with Relativistic Dispersion",
  "authors": [
    "Niels Benedikter",
    "Marcello Porta",
    "Benjamin Schlein"
  ],
  "comment": "11 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We extend the derivation of the time-dependent Hartree-Fock equation recently obtained in [2] to fermions with a relativistic dispersion law. The main new ingredient is the propagation of semiclassical commutator bounds along the pseudo-relativistic Hartree-Fock evolution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-25T11:46:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V70",
      "82C10",
      "81U30",
      "60F05"
    ],
    "keywords": [
      "mean-field dynamics",
      "pseudo-relativistic hartree-fock evolution",
      "relativistic dispersion law",
      "time-dependent hartree-fock equation",
      "semiclassical commutator bounds"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.4863349",
      "journal": "Journal of Mathematical Physics",
      "year": 2014,
      "month": "Feb",
      "volume": 55,
      "number": 2,
      "pages": "021901"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JMP....55b1901B"
    }
  }
}