{
  "id": "math-ph/0211021",
  "version": "v2",
  "published": "2002-11-13T03:01:04.000Z",
  "updated": "2003-01-08T01:10:37.000Z",
  "title": "Nambu Dynamics, Deformation Quantization, and Superintegrability",
  "authors": [
    "Thomas L. Curtright",
    "Cosmas K. Zachos"
  ],
  "comment": "Talk by the first author at the Workshop on Superintegrability in Classical and Quantum Systems, Centre de recherches mathematiques, Universite de Montreal, 16-21 September 2002. Minor changes to conform to the version in the proceedings",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA"
  ],
  "abstract": "Phase space is a framework ideally suited for quantizing superintegrable systems through the use of deformation methods, as illustrated here by applications to de Sitter and chiral particles. Within this framework, Nambu brackets elegantly incorporate the additional quantum invariants of such models. New results are presented for the non-Abelian quantization of these brackets.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-01-08T01:10:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D55",
      "81R60",
      "81R50",
      "37J35"
    ],
    "keywords": [
      "deformation quantization",
      "nambu dynamics",
      "superintegrability",
      "additional quantum invariants",
      "nambu brackets elegantly incorporate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 601976,
      "adsabs": "2002math.ph..11021C"
    }
  }
}