{
  "id": "math-ph/0311043",
  "version": "v1",
  "published": "2003-11-24T20:55:31.000Z",
  "updated": "2003-11-24T20:55:31.000Z",
  "title": "Nonlinear Hartree equation as the mean field limit of weakly coupled fermions",
  "authors": [
    "Alexander Elgart",
    "Laszlo Erdos",
    "Benjamin Schlein",
    "Horng-Tzer Yau"
  ],
  "comment": "latex file, 31 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a system of N weakly interacting fermions with a real analytic pair interaction. We prove that for a general class of initial data there exists a fixed time T such that the difference between the one particle density matrix of this system and the solution of the non-linear Hartree equation is of order 1/N for any time t less or equal T.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-24T20:55:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "45F15",
      "81Q05",
      "81V70"
    ],
    "keywords": [
      "mean field limit",
      "nonlinear hartree equation",
      "weakly coupled fermions",
      "real analytic pair interaction",
      "particle density matrix"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.ph..11043E"
    }
  }
}