{
  "id": "1307.7108",
  "version": "v1",
  "published": "2013-07-26T17:32:20.000Z",
  "updated": "2013-07-26T17:32:20.000Z",
  "title": "Classical limit of the canonical partition function",
  "authors": [
    "Pere Seglar",
    "Enric Pérez"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas"
  ],
  "abstract": "We analyze the so-called classical limit of the quantum-mechanical canonical partition function. In order to do that, we define accurately the density matrix for symmetrized and antisymmetrized wave functions only (Bose-Einstein and Fermi-Dirac), and find an exact relation between them and the density matrix for non symmetrized functions (Maxwell-Boltzmann). Our results differ from the generally assumed in a numerical factor N!, for which we suggest a physical interpretation. We derive as well the reverse (and also exact) relation, to find the canonical partition function for non-symmetrized wave functions in terms of the corresponding function for fermions and bosons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-26T17:32:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82-02"
    ],
    "keywords": [
      "classical limit",
      "density matrix",
      "quantum-mechanical canonical partition function",
      "antisymmetrized wave functions",
      "non-symmetrized wave functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0143-0807/35/1/015004",
      "journal": "European Journal of Physics",
      "year": 2014,
      "month": "Jan",
      "volume": 35,
      "number": 1,
      "pages": "015004"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014EJPh...35a5004S"
    }
  }
}