{
  "id": "1211.2919",
  "version": "v1",
  "published": "2012-11-13T09:02:34.000Z",
  "updated": "2012-11-13T09:02:34.000Z",
  "title": "A new approach to the higher-order superintegrability of the Tremblay-Turbiner-Winternitz system",
  "authors": [
    "Manuel F. Ranada"
  ],
  "journal": "J. Phys. A (Math. and Theor.) 45, Art. no. 465203 (9 pp.) (2012)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The higher-order superintegrability of systems separable in polar coordinates is studied using an approch that was previously applied for the study of the superintegrability of a generalized Smorodinsky-Winternitz system. The idea is that the additional constant of motion can be factorized as the product of powers of two particular rather simple complex functions (here denoted by $M$ and $N$). This technique leads to a proof of the superintegrability of the Tremblay-Turbiner-Winternitz system and to the explicit expression of the constants of motion. A second family (related with the first one) of superintegrable systems is also studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-13T09:02:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J35",
      "70H06"
    ],
    "keywords": [
      "higher-order superintegrability",
      "tremblay-turbiner-winternitz system",
      "simple complex functions",
      "polar coordinates",
      "additional constant"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/45/46/465203",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "Nov",
      "volume": 45,
      "number": 46,
      "pages": 465203
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhA...45T5203R"
    }
  }
}