{
  "id": "0910.3969",
  "version": "v1",
  "published": "2009-10-20T21:42:46.000Z",
  "updated": "2009-10-20T21:42:46.000Z",
  "title": "Derivation of effective evolution equations from many body quantum dynamics",
  "authors": [
    "Benjamin Schlein"
  ],
  "comment": "9 pages. Contribution to the Proceedings of the International Congress on Mathematical Physics held in Prague in August 2009",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We review some recent results concerning the derivation of effective evolution equations from first principle quantum dynamics. In particular, we discuss the derivation of the Hartree equation for mean field systems and the derivation of the Gross-Pitaevskii equation for the time evolution of Bose-Einstein condensates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-20T21:42:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81U05",
      "81U30",
      "81V70",
      "82C10"
    ],
    "keywords": [
      "effective evolution equations",
      "body quantum dynamics",
      "derivation",
      "first principle quantum dynamics",
      "mean field systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010maph.conf..406S"
    }
  }
}