{
  "id": "math-ph/0602037",
  "version": "v1",
  "published": "2006-02-14T08:35:44.000Z",
  "updated": "2006-02-14T08:35:44.000Z",
  "title": "Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics",
  "authors": [
    "Nicolae Cotfas"
  ],
  "comment": "Additional results available at http://fpcm5.fizica.unibuc.ro/~ncotfas",
  "journal": "Central European Journal of Physics 2 (2004) 456-466",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions and the corresponding raising/lowering operators. The considered equations are directly related to some Schrodinger type equations (Poschl-Teller, Scarf, Morse, etc), and the defined special functions are related to the corresponding bound-state eigenfunctions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-14T08:35:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "81Q60"
    ],
    "keywords": [
      "orthogonal polynomials",
      "quantum mechanics",
      "application",
      "schrodinger type equations",
      "hypergeometric type equation satisfying"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}