{
  "id": "quant-ph/9606023",
  "version": "v1",
  "published": "1996-06-22T10:10:59.000Z",
  "updated": "1996-06-22T10:10:59.000Z",
  "title": "Factorisation of analytic representations in the unit disk and number-phase statistics of a quantum harmonic oscillator",
  "authors": [
    "A. Vourdas",
    "C. Brif",
    "A. Mann"
  ],
  "comment": "to appear in J. Phys. A, LaTeX, 13 pages, no figures. More information on http://www.technion.ac.il/~brif/science.html",
  "journal": "J.Phys.A29:5887-5898,1996",
  "doi": "10.1088/0305-4470/29/18/018",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The inner-outer part factorisation of analytic representations in the unit disk is used for an effective characterisation of the number-phase statistical properties of a quantum harmonic oscillator. It is shown that the factorisation is intimately connected to the number-phase Weyl semigroup and its properties. In the Barut-Girardello analytic representation the factorisation is implemented as a convolution. Several examples are given which demonstrate the physical significance of the factorisation and its role for quantum statistics. In particular, we study the effect of phase-space interference on the factorisation properties of a superposition state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-06-22T10:10:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum harmonic oscillator",
      "unit disk",
      "number-phase statistics",
      "inner-outer part factorisation",
      "barut-girardello analytic representation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 419965
    }
  }
}