{
  "id": "1110.3738",
  "version": "v2",
  "published": "2011-10-17T17:39:39.000Z",
  "updated": "2012-01-24T08:26:41.000Z",
  "title": "Exceptional Polynomials and SUSY Quantum Mechanics",
  "authors": [
    "K. V. S. Shiv Chaitanya",
    "S. Sree Ranjani",
    "Prasanta K. Panigrahi",
    "R Radhakrishnan",
    "V. Srinivasan"
  ],
  "comment": "9 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We show that the existence of exceptional polynomials leads to the presence of non-trivial supersymmetry. The existence of these polynomials reveals several distinct isospectral potentials for the Schr\\\"odinger equation. All Schr\\\"odinger equations having Laguerre and Jacobi polynomials as their solutions, have non-trivial supersymmetric partners with corresponding exceptional polynomials as solutions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-24T08:26:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "susy quantum mechanics",
      "non-trivial supersymmetric partners",
      "distinct isospectral potentials",
      "corresponding exceptional polynomials",
      "jacobi polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.3738S"
    }
  }
}