{
  "id": "0712.1131",
  "version": "v1",
  "published": "2007-12-07T13:08:55.000Z",
  "updated": "2007-12-07T13:08:55.000Z",
  "title": "On some mathematical identities resulting from evaluation of the partition function for an electron moving in a periodic lattice",
  "authors": [
    "Jakub Jȩdrak"
  ],
  "comment": "27 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a simple model of the dynamics of a single electron in a crystal lattice. Although this is a standard problem in condensed matter physics, alternative ways of evaluating a partition function for such a system lead to equalities, that may be interesting from the point of view of mathematical analysis, combinatorics and graph theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-07T13:08:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition function",
      "mathematical identities resulting",
      "periodic lattice",
      "electron moving",
      "evaluation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.1131J"
    }
  }
}