{
  "annotation_id": "a91b8428-67f0-443e-901b-4f19511b3154",
  "date_created": "2026-03-02T18:02:20.478000Z",
  "date_modified": "2026-03-02T18:02:20.478000Z",
  "file_hash": "bb4f1d8f02984fc28214d01c02172918990376b33049ba07e9e4875878fc7178",
  "private": false,
  "record": {
    "abstract": "In this paper we construct the commutators of the Fedosov * (a generalization\nof the Moyal star product) on the phase space of S2. It is shown that this\nproduct obeys the standard angular momentum commutation relations in ordinary\nnonrelativistic quantum mechanics. The purpose of this paper is three-fold. One\nis to find an exact, non-perturbative solution to the commutators of the\nFedosov *. The other is to verify that these commutation relations correspond\nto angular momentum commutation relations as in ordinary nonrelativistic\nquantum mechanics. The last is to show a more general computation of the\nFedosov *; essentially undeforming Fedosov\u0027s algorithm.",
    "arxiv_id": "quant-ph/0509210",
    "authors": [
      "Philip Tillman",
      "George Sparling"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2195529",
    "journal_ref": "J. Math. Phys. 47, 052102 (2006)",
    "title": "Observables of Angular Momentum as Observables on the Fedosov Quantized   Sphere",
    "url": "https://arxiv.org/abs/quant-ph/0509210"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8deda96-146f-4e70-8ecf-98ee3bbe3620",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}