{
  "id": "1008.5221",
  "version": "v3",
  "published": "2010-08-31T05:37:44.000Z",
  "updated": "2010-09-17T07:54:00.000Z",
  "title": "A Dynamical System with Q-deformed Phase Space Represented in Ordinary Variable Spaces",
  "authors": [
    "S. Naka",
    "H. Toyoda",
    "T. Takanashi"
  ],
  "comment": "17page, 2 figures",
  "journal": "Prog.Theor.Phys.124:1019-1035,2010",
  "doi": "10.1143/PTP.124.1019",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "Dynamical systems associated with a q-deformed two dimensional phase space are studied as effective dynamical systems described by ordinary variables. In quantum theory, the momentum operator in such a deformed phase space becomes a difference operator instead of the differential operator. Then, using the path integral representation for such a dynamical system, we derive an effective short-time action, which contains interaction terms even for a free particle with q-deformed phase space. Analysis is also made on the eigenvalue problem for a particle with q-deformed phase space confined in a compact space. Under some boundary conditions of the compact space, there arises fairly different structures from $q=1$ case in the energy spectrum of the particle and in the corresponding eigenspace .",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-09-17T07:54:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical system",
      "q-deformed phase space",
      "ordinary variable spaces",
      "compact space",
      "difference operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Progress of Theoretical Physics",
      "year": 2010,
      "month": "Dec",
      "volume": 124,
      "number": 6,
      "pages": 1019
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 866758,
      "adsabs": "2010PThPh.124.1019N"
    }
  }
}