{
  "id": "1209.4429",
  "version": "v1",
  "published": "2012-09-20T05:15:20.000Z",
  "updated": "2012-09-20T05:15:20.000Z",
  "title": "An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators",
  "authors": [
    "R. Arcos-Olalla",
    "M. A. Reyes",
    "H. C. Rosu"
  ],
  "comment": "18 pages, 7 figures, last 2 figures are not included in the version to be published, accepted by Phys. Lett. A",
  "journal": "Phys. Lett. A 376 (2012) 2860-2865",
  "doi": "10.1016/j.physleta.2012.09.024",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce an alternative factorization of the Hamiltonian of the quantum harmonic oscillator which leads to a two-parameter self-adjoint operator from which the standard harmonic oscillator, the one-parameter oscillators introduced by Mielnik, and the Hermite operator are obtained in certain limits of the parameters. In addition, a single Bernoulli-type parameter factorization which is different of the one introduced by M. A. Reyes, H. C. Rosu, and M. R. Gutierrez, Phys. Lett. A 375 (2011) 2145 is briefly discussed in the final part of this work",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-20T05:15:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "03.65.Ca",
      "03.65.Ge"
    ],
    "keywords": [
      "quantum harmonic oscillator",
      "alternative factorization",
      "two-parameter family",
      "single bernoulli-type parameter factorization",
      "standard harmonic oscillator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters A",
      "year": 2012,
      "month": "Oct",
      "volume": 376,
      "number": 45,
      "pages": 2860
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1187553,
      "adsabs": "2012PhLA..376.2860A"
    }
  }
}