{
  "id": "0710.2453",
  "version": "v3",
  "published": "2007-10-12T13:21:20.000Z",
  "updated": "2008-06-03T12:52:47.000Z",
  "title": "Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations",
  "authors": [
    "C. Quesne"
  ],
  "comment": "15 pages, no figure; published version",
  "journal": "J.Phys.A41:244022,2008",
  "doi": "10.1088/1751-8113/41/24/244022",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "A harmonic oscillator Hamiltonian augmented by a non-Hermitian \\pt-symmetric part and its su(1,1) generalizations, for which a family of positive-definite metric operators was recently constructed, are re-examined in a supersymmetric context. Quasi-Hermitian supersymmetric extensions of such Hamiltonians are proposed by enlarging su(1,1) to a ${\\rm su}(1,1/1) \\sim {\\rm osp}(2/2, \\R)$ superalgebra. This allows the construction of new non-Hermitian Hamiltonians related by similarity to Hermitian ones. Some examples of them are reviewed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-06-03T12:52:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "11.30.Pb"
    ],
    "keywords": [
      "quasi-hermitian supersymmetric extensions",
      "non-hermitian oscillator hamiltonian",
      "generalizations",
      "positive-definite metric operators",
      "harmonic oscillator hamiltonian"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2008,
      "month": "Jun",
      "volume": 41,
      "number": 24,
      "pages": 244022
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 764079,
      "adsabs": "2008JPhA...41x4022Q"
    }
  }
}