{
  "id": "1107.5844",
  "version": "v2",
  "published": "2011-07-28T22:59:52.000Z",
  "updated": "2011-08-09T12:41:17.000Z",
  "title": "Supersymmetric Quantum Mechanics with Reflections",
  "authors": [
    "S. Post",
    "L. Vinet",
    "A. Zhedanov"
  ],
  "comment": "17 pages",
  "journal": "J.Phys.A44:435301,2011",
  "doi": "10.1088/1751-8113/44/43/435301",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Scarf I potential is presented and analyzed. Its eigenfunctions are given in terms of little -1 Jacobi polynomials which obey an eigenvalue equation of Dunkl type and arise as a q-> -1 limit of the little q-Jacobi polynomials. Intertwining operators connecting the wave functions of extended Scarf I potentials with different parameters are presented.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-09T12:41:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A18",
      "05E35",
      "33D45",
      "34Kxx",
      "81Q60",
      "02.30.Gp",
      "03.65.Fd",
      "02.30.Hq",
      "03.65.Ge",
      "12.60.Jv"
    ],
    "keywords": [
      "supersymmetric quantum mechanics",
      "reflections",
      "extended scarf",
      "little q-jacobi polynomials",
      "wave functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Oct",
      "volume": 44,
      "number": 43,
      "pages": 435301
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 924110,
      "adsabs": "2011JPhA...44Q5301P"
    }
  }
}