{
  "annotation_id": "18707e20-05ae-4457-a80d-4c113d65c9b4",
  "date_created": "2026-03-02T18:02:48.354000Z",
  "date_modified": "2026-03-02T18:02:48.354000Z",
  "file_hash": "c56faf81b9ca4426db0b085ff7b004061ea726e7819e7358041ea88f0017be72",
  "private": false,
  "record": {
    "abstract": "We show that the three quantum states (P$\\acute{o}$lya states, the\ngeneralized non-classical states related to Hahn polynomials and negative\nhypergeometric states) introduced recently as intermediates states which\ninterpolate between the binomial states and negative binomial states are\nessentially identical. By using the Hermitial-phase-operator formalism, the\nphase properties of the hypergeometric states and negative hypergeometric\nstates are studied in detail. We find that the number of peaks of phase\nprobability distribution is one for the hypergeometric states and $M$ for the\nnegative hypergeometric states.",
    "arxiv_id": "quant-ph/9905029",
    "authors": [
      "Xiao-Guang Wang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/2/1/305",
    "journal_ref": "J.Opt.BQuant.Semiclass.Opt.2:29-32,2000",
    "title": "Phase properties of hypergeometric states and negative hypergeometric   states",
    "url": "https://arxiv.org/abs/quant-ph/9905029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6958feac-a344-4fbe-a742-e7b46dae6c2f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}