{
  "id": "cond-mat/0503684",
  "version": "v1",
  "published": "2005-03-29T17:45:41.000Z",
  "updated": "2005-03-29T17:45:41.000Z",
  "title": "Canonical quantization of classical systems with generalized entropies",
  "authors": [
    "A. M. Scarfone"
  ],
  "comment": "11 pages, no figures, RevTeX4, accepted on Rep. Math. Phys",
  "doi": "10.1016/S0034-4877(05)00012-1",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We present, in the framework of the canonical quantization, a class of nonlinear Schroedinger equations with a complex nonlinearity describing, in the mean field approximation, systems of collectively interacting particles. The quantum evolution equation is obtained starting from the study of a N-body classical system where the underlined nonlinear kinetics is governed by a kinetic interaction principle (KIP) recently proposed [G. Kaniadakis: Physica A 296 (2001), 405--425]. The KIP, both imposes the form of the generalized entropy associated to the classical system, and determines the Fokker-Planck equation describing the kinetic evolution of the system towards equilibrium. Keywords: Nonlinear Schroedinger equation, Nonlinear kinetics, Generalized entropy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-29T17:45:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized entropy",
      "classical system",
      "canonical quantization",
      "nonlinear schroedinger equation",
      "mean field approximation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}