{
  "id": "math-ph/0412067",
  "version": "v1",
  "published": "2004-12-20T09:03:20.000Z",
  "updated": "2004-12-20T09:03:20.000Z",
  "title": "Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian",
  "authors": [
    "Angel Ballesteros Francisco J. Herranz",
    "Fabio Musso",
    "Orlando Ragnisco"
  ],
  "comment": "17 pages. Published in \"Superintegrability in Classical and Quantum Systems\", edited by P.Tempesta, P.Winternitz, J.Harnad, W.Miller Jr., G.Pogosyan and M.A.Rodriguez, CRM Proceedings & Lecture Notes, vol.37, American Mathematical Society, 2004",
  "categories": [
    "math-ph",
    "math.MP",
    "math.QA",
    "nlin.SI"
  ],
  "abstract": "A constructive procedure to obtain superintegrable deformations of the classical Smorodinsky-Winternitz Hamiltonian by using quantum deformations of its underlying Poisson sl(2) coalgebra symmetry is introduced. Through this example, the general connection between coalgebra symmetry and quasi-maximal superintegrability is analysed. The notion of comodule algebra symmetry is also shown to be applicable in order to construct new integrable deformations of certain Smorodinsky-Winternitz systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-20T09:03:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J35",
      "17B37"
    ],
    "keywords": [
      "superintegrable deformations",
      "coalgebra symmetry",
      "comodule algebra symmetry",
      "classical smorodinsky-winternitz hamiltonian",
      "quantum deformations"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.ph..12067H"
    }
  }
}