{
  "annotation_id": "9d2ee81d-f8ca-4e21-a5cc-5260cf600305",
  "date_created": "2026-03-02T18:02:38.182000Z",
  "date_modified": "2026-03-02T18:02:38.182000Z",
  "file_hash": "49e8dba3b9c179e4318fd48d0bde5a043efd6f58448691997be9441593f5d5e5",
  "private": false,
  "record": {
    "abstract": "The inner-outer part factorisation of analytic representations in the unit\ndisk is used for an effective characterisation of the number-phase statistical\nproperties of a quantum harmonic oscillator. It is shown that the factorisation\nis intimately connected to the number-phase Weyl semigroup and its properties.\nIn the Barut-Girardello analytic representation the factorisation is\nimplemented as a convolution. Several examples are given which demonstrate the\nphysical significance of the factorisation and its role for quantum statistics.\nIn particular, we study the effect of phase-space interference on the\nfactorisation properties of a superposition state.",
    "arxiv_id": "quant-ph/9606023",
    "authors": [
      "A. Vourdas",
      "C. Brif",
      "A. Mann"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/29/18/018",
    "journal_ref": "J.Phys.A29:5887-5898,1996",
    "title": "Factorisation of analytic representations in the unit disk and   number-phase statistics of a quantum harmonic oscillator",
    "url": "https://arxiv.org/abs/quant-ph/9606023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "125dcf6c-c954-4e57-8053-5d1c5281a200",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}