{
  "id": "1006.3233",
  "version": "v1",
  "published": "2010-06-16T14:28:37.000Z",
  "updated": "2010-06-16T14:28:37.000Z",
  "title": "An $su(1,1)$ algebraic approach for the relativistic Kepler-Coulomb problem",
  "authors": [
    "M. Salazar-Ramírez",
    "D. Martínez",
    "R. D. Mota",
    "V. D. Granados"
  ],
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We apply the Schr\\\"odinger factorization method to the radial second-order equation for the relativistic Kepler-Coulomb problem. From these operators we construct two sets of one-variable radial operators which are realizations for the $su(1,1)$ Lie algebra. We use this algebraic structure to obtain the energy spectrum and the supersymmetric ground state for this system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-16T14:28:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.20.Sv",
      "03.65.Fd",
      "03.65.Pm",
      "03.65.Ge"
    ],
    "keywords": [
      "relativistic kepler-coulomb problem",
      "algebraic approach",
      "radial second-order equation",
      "supersymmetric ground state",
      "lie algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/43/44/445203",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2010,
      "month": "Nov",
      "volume": 43,
      "number": 44,
      "pages": 445203
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 864642,
      "adsabs": "2010JPhA...43R5203S"
    }
  }
}