{
  "id": "0910.0192",
  "version": "v1",
  "published": "2009-10-01T14:45:33.000Z",
  "updated": "2009-10-01T14:45:33.000Z",
  "title": "Supersymmetric Quantum Mechanics",
  "authors": [
    "David J. Fernandez C"
  ],
  "comment": "36 pages, 8 figures, lectures delivered at the Advanced Summer School 2009, Cinvestav (Mexico City), July 2009",
  "journal": "AIP Conf.Proc.1287:3-36,2010",
  "doi": "10.1063/1.3507423",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Supersymmetric quantum mechanics (SUSY QM) is a powerful tool for generating new potentials with known spectra departing from an initial solvable one. In these lecture notes we will present some general formulas concerning SUSY QM of first and second order for one-dimensional arbitrary systems, and we will illustrate the method through the trigonometric Poschl-Teller potentials. Some intrinsically related subjects, as the algebraic structure inherited by the new Hamiltonians and the corresponding coherent states will be analyzed. The technique will be as well implemented for periodic potentials, for which the corresponding spectrum is composed of allowed bands separated by energy gaps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-01T14:45:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.30.Sa",
      "03.65.Aa",
      "03.75.Hh",
      "02.10.-v",
      "03.65.Pm"
    ],
    "keywords": [
      "supersymmetric quantum mechanics",
      "general formulas concerning susy qm",
      "one-dimensional arbitrary systems",
      "trigonometric poschl-teller potentials",
      "energy gaps"
    ],
    "tags": [
      "lecture notes",
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "AIP Conf. Proc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 832793,
      "adsabs": "2010AIPC.1287....3D"
    }
  }
}