{
  "annotation_id": "199b7d85-4a84-413e-924a-906dddae8bb4",
  "date_created": "2026-03-02T18:01:52.359000Z",
  "date_modified": "2026-03-02T18:01:52.359000Z",
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  "record": {
    "abstract": "We show that the Fano operator for one dimensional quantum system is uniquely\ndetermined by assuming the reasonable behavior under translation and parity\ntransformation on phase space. Contrarily, for the system with lattice phase\nspace the same procedure does not work.",
    "arxiv_id": "quant-ph/0208045",
    "authors": [
      "Minoru Horibe",
      "Takaaki Hashimoto",
      "Akihisa Hayashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/27/312",
    "journal_ref": "J.Phys.A:Math.Gen. 36(2003)7601-7609",
    "title": "Can the Wigner function be determined by properties for translation and   parity transformation on lattice phase space?",
    "url": "https://arxiv.org/abs/quant-ph/0208045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5ca4a74e-35c4-4332-abd1-0b0db729e436",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}