{
  "id": "1503.07747",
  "version": "v1",
  "published": "2015-03-26T14:27:24.000Z",
  "updated": "2015-03-26T14:27:24.000Z",
  "title": "Confluent chains of DBT: enlarged shape invariance and new orthogonal polynomials",
  "authors": [
    "Yves Grandati",
    "Christiane Quesne"
  ],
  "comment": "27 pages, no figure",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI",
    "quant-ph"
  ],
  "abstract": "We construct rational extensions of the Darboux-P\\\"{o}schl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the initial potential, whereas the latter are only quasi-isospectral. Both are associated to new families of orthogonal polynomials, which, in the first case, depend on a continuous parameter. We also prove that these extended potentials possess an enlarged shape invariance property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-26T14:27:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orthogonal polynomials",
      "confluent chains",
      "two-step confluent darboux transformations",
      "construct rational extensions",
      "enlarged shape invariance property"
    ],
    "publication": {
      "doi": "10.3842/SIGMA.2015.061"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150307747G",
      "inspire": 1390172
    }
  }
}