{
  "id": "0906.3396",
  "version": "v1",
  "published": "2009-06-18T10:00:56.000Z",
  "updated": "2009-06-18T10:00:56.000Z",
  "title": "Symmetry reduction and superintegrable Hamiltonian systems",
  "authors": [
    "M. A. Rodriguez",
    "P. Tempesta",
    "P. Winternitz"
  ],
  "comment": "9 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We construct complete sets of invariant quantities that are integrals of motion for two Hamiltonian systems obtained through a reduction procedure, thus proving that these systems are maximally superintegrable. We also discuss the reduction method used in this article and its possible generalization to other maximally superintegrable systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-18T10:00:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70H33",
      "22E70"
    ],
    "keywords": [
      "superintegrable hamiltonian systems",
      "symmetry reduction",
      "construct complete sets",
      "invariant quantities",
      "reduction procedure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-6596/175/1/012013",
      "journal": "Journal of Physics Conference Series",
      "year": 2009,
      "month": "Jun",
      "volume": 175,
      "number": 1,
      "pages": "012013"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhCS.175a2013R"
    }
  }
}