{
  "id": "1010.0620",
  "version": "v1",
  "published": "2010-10-04T15:25:09.000Z",
  "updated": "2010-10-04T15:25:09.000Z",
  "title": "Generalized quantum isotonic nonlinear oscillator in d dimensions",
  "authors": [
    "Richard L. Hall",
    "Nasser Saad",
    "Ozlem Yesiltas"
  ],
  "comment": "8 pages, no figures",
  "journal": "J.Phys.A43:465304,2010",
  "doi": "10.1088/1751-8113/43/46/465304",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We present a supersymmetric analysis for the d-dimensional Schroedinger equation with the generalized isotonic nonlinear-oscillator potential V(r)={B^2}/{r^{2}}+\\omega^{2} r^{2}+2g{(r^{2}-a^{2})}/{(r^{2}+a^{2})^{2}}, B\\geq 0. We show that the eigenequation for this potential is exactly solvable provided g=2 and (\\omega a^2)^2 = B^2 +(\\ell +(d-2)/2)^2. Under these conditions, we obtain explicit formulae for all the energies and normalized bound-state wavefunctions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-04T15:25:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Pm",
      "03.65.Ge"
    ],
    "keywords": [
      "generalized quantum isotonic nonlinear oscillator",
      "dimensions",
      "generalized isotonic nonlinear-oscillator potential",
      "d-dimensional schroedinger equation",
      "supersymmetric analysis"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2010,
      "month": "Nov",
      "volume": 43,
      "number": 46,
      "pages": 465304
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 871948,
      "adsabs": "2010JPhA...43T5304H"
    }
  }
}