{
  "id": "1207.6976",
  "version": "v1",
  "published": "2012-07-30T15:49:10.000Z",
  "updated": "2012-07-30T15:49:10.000Z",
  "title": "Infinite families of superintegrable systems separable in subgroup coordinates",
  "authors": [
    "Daniel Lévesque",
    "Sarah Post",
    "Pavel Winternitz"
  ],
  "comment": "19 pages, 6 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "A method is presented that makes it possible to embed a subgroup separable superintegrable system into an infinite family of systems that are integrable and exactly-solvable. It is shown that in two dimensional Euclidean or pseudo-Euclidean spaces the method also preserves superintegrability. Two infinite families of classical and quantum superintegrable systems are obtained in two-dimensional pseudo-Euclidean space whose classical trajectories and quantum eigenfunctions are investigated. In particular, the wave-functions are expressed in terms of Laguerre and generalized Bessel polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-30T15:49:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite family",
      "superintegrable systems separable",
      "subgroup coordinates",
      "two-dimensional pseudo-euclidean space",
      "generalized bessel polynomials"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/45/46/465204",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "Nov",
      "volume": 45,
      "number": 46,
      "pages": 465204
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhA...45T5204L"
    }
  }
}