{
  "id": "1512.03938",
  "version": "v1",
  "published": "2015-12-12T17:15:14.000Z",
  "updated": "2015-12-12T17:15:14.000Z",
  "title": "On Dynamics of Correlations in Quantum Many-Particle Systems",
  "authors": [
    "V. I. Gerasimenko"
  ],
  "comment": "17 pages",
  "categories": [
    "math-ph",
    "cond-mat.quant-gas",
    "cond-mat.stat-mech",
    "math.MP"
  ],
  "abstract": "The paper deals with the problem of the rigorous description of the evolution of states of large particle quantum systems by means of correlation operators. A nonperturbative solution of the Cauchy problem of the hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators is constructed. For initial states specified in terms of a one-particle density operator and correlation operators we also develop an approach to the description of the processes of the creation and the propagation of correlations within the framework of a one-particle density operator. Moreover, the mean field asymptotic behavior of constructed marginal correlation operators is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-12T17:15:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "82C40",
      "82C10"
    ],
    "keywords": [
      "quantum many-particle systems",
      "one-particle density operator",
      "mean field asymptotic behavior",
      "large particle quantum systems",
      "constructed marginal correlation operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}