{
  "id": "math-ph/0001018",
  "version": "v1",
  "published": "2000-01-13T18:18:45.000Z",
  "updated": "2000-01-13T18:18:45.000Z",
  "title": "Propagation of Molecular Chaos by Quantum Systems and the Dynamics of the Curie-Weiss Model",
  "authors": [
    "Alexander David Gottlieb"
  ],
  "comment": "18 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.OA"
  ],
  "abstract": "The propagation of molecular chaos, a tool of classical kinetic theory, is generalized to apply to quantum systems of distinguishable particles. We prove that the Curie-Weiss model of ferromagnetism propagates molecular chaos and derive the effective dynamics of a single-spin state in the mean-field limit. Our treatment differs from the traditional approach to mean-field spin models in that it concerns the dynamics of single-particle states instead of the dynamics of infinite-particle states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-01-13T18:18:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C10"
    ],
    "keywords": [
      "quantum systems",
      "curie-weiss model",
      "propagation",
      "ferromagnetism propagates molecular chaos",
      "mean-field spin models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.ph...1018G"
    }
  }
}