{
  "id": "1212.0244",
  "version": "v1",
  "published": "2012-12-02T20:58:50.000Z",
  "updated": "2012-12-02T20:58:50.000Z",
  "title": "Higher order SUSY-QM for Pöschl-Teller potentials: coherent states and operator properties",
  "authors": [
    "Mahouton Norbert Hounkonnou",
    "Sama Arjika",
    "Ezinvi Baloitcha"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This work prolongs recent investigations by Bergeron et al [see 2012 J. Phys. A: Math. Theo. 45 244028] on new SUSYQM coherent states for P\\\"oschl-Teller potentials. It mainly addresses explicit computations of eigenfunctions and spectrum associated to the higher order hierarchic supersymmetric Hamiltonian. Analysis of relevant properties and normal and anti-normal forms is performed and discussed. Coherent states of the hierarchic first order differential operator $A_{m,\\nu,\\beta}$ of the P\\\"oschl-Teller Hamiltonian $H_{\\nu,\\beta}^{(m)}$ and their characteristics are studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-02T20:58:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coherent states",
      "higher order susy-qm",
      "pöschl-teller potentials",
      "operator properties",
      "higher order hierarchic supersymmetric hamiltonian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1255908,
      "adsabs": "2012arXiv1212.0244H"
    }
  }
}