{
  "id": "1103.0948",
  "version": "v1",
  "published": "2011-03-04T17:01:52.000Z",
  "updated": "2011-03-04T17:01:52.000Z",
  "title": "Rate of Convergence Towards Hartree Dynamics",
  "authors": [
    "Li Chen",
    "Ji Oon Lee",
    "Benjamin Schlein"
  ],
  "comment": "26 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a system of N bosons interacting through a two-body potential with, possibly, Coulomb-type singularities. We show that the difference between the many-body Schr\\\"odinger evolution in the mean-field regime and the effective nonlinear Hartree dynamics is at most of the order 1/N, for any fixed time. The N-dependence of the bound is optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-04T17:01:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81U05",
      "81U30",
      "81V70",
      "82C10"
    ],
    "keywords": [
      "convergence",
      "effective nonlinear hartree dynamics",
      "coulomb-type singularities",
      "two-body potential",
      "mean-field regime"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10955-011-0283-y",
      "journal": "Journal of Statistical Physics",
      "year": 2011,
      "month": "Aug",
      "volume": 144,
      "number": 4,
      "pages": 872
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JSP...144..872C"
    }
  }
}