{
  "annotation_id": "666b8194-3ba1-4334-a988-60300274e63d",
  "date_created": "2026-03-02T18:01:52.157000Z",
  "date_modified": "2026-03-02T18:01:52.157000Z",
  "file_hash": "3cfdc55683decc37ade4f0d20ada9bf8db606fee7f23a38887ec29328262a80a",
  "private": false,
  "record": {
    "abstract": "Covariant phase difference observables are determined in two different ways,\nby a direct computation and by a group theoretical method. A characterization\nof phase difference observables which can be expressed as difference of two\nphase observables is given. Classical limit of such phase difference\nobservables are determined and the Pegg-Barnett phase difference distribution\nis obtained from the phase difference representation. The relation of Ban\u0027s\ntheory to the covariant phase theories is exhibited.",
    "arxiv_id": "quant-ph/0209101",
    "authors": [
      "T. Heinonen",
      "P. Lahti",
      "J. -P. Pellonpaa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1534383",
    "journal_ref": "J. Math. Phys. 44 (2003) 466-479.",
    "title": "Covariant phase difference observables",
    "url": "https://arxiv.org/abs/quant-ph/0209101"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6a878a25-bb20-4710-92e8-162a2ff355e1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}