{
  "id": "quant-ph/0110133",
  "version": "v2",
  "published": "2001-10-23T12:42:32.000Z",
  "updated": "2001-12-18T14:21:44.000Z",
  "title": "Creation and annihilation operators and coherent states for the PT-symmetric oscillator",
  "authors": [
    "B. Bagchi",
    "C. Quesne"
  ],
  "comment": "one additional reference, final version to be published in MPLA",
  "journal": "Mod.Phys.Lett. A16 (2001) 2449-2456",
  "doi": "10.1142/S0217732301005916",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We construct two commuting sets of creation and annihilation operators for the PT-symmetric oscillator. We then build coherent states of the latter as eigenstates of such annihilation operators by employing a modified version of the normalization integral that is relevant to PT-symmetric systems. We show that the coherent states are normalizable only in the range (0, 1) of the underlying coupling parameter $\\alpha$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-12-18T14:21:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "annihilation operators",
      "pt-symmetric oscillator",
      "build coherent states",
      "normalization integral",
      "pt-symmetric systems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 564867
    }
  }
}