{
  "annotation_id": "3515ee1d-6a2c-442f-a24c-7555741b651d",
  "date_created": "2026-03-02T18:02:30.492000Z",
  "date_modified": "2026-03-02T18:02:30.492000Z",
  "file_hash": "db7ff0911c473bea8b679c1aa125a286626ae849c0a29c73fac6dddb1cc1f3b7",
  "private": false,
  "record": {
    "abstract": "We present a new procedure which allows a coherent state (CS) quantization of\nany set with a measure. It is manifest through the replacement of classical\nobservables by CS quantum observables, which acts on a Hilbert space of\nprescribed dimension $N$. The algebra of CS quantum observables has the finite\ndimension $N^2$. The application to the 2-sphere provides a family of\ninequivalent CS quantizations, based on the spin spherical harmonics (the CS\nquantization from usual spherical harmonics appears to give a trivial issue for\nthe cartesian coordinates). We compare these CS quantizations to the usual\n(Madore) construction of the fuzzy sphere. The difference allows us to consider\nour procedures as the constructions of new type of fuzzy spheres. The very\ngeneral character of our method suggests applications to construct fuzzy\nversions of a variety of sets.",
    "arxiv_id": "quant-ph/0610080",
    "authors": [
      "Jean-Pierre Gazeau",
      "Eric Huguet",
      "Marc Lachi\u00e8ze-Rey",
      "Jacques Renaud"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/33/018",
    "journal_ref": "Journal of Physics A: Mathematical and Theoretical 40 (2007)\n  10225-10249",
    "title": "Fuzzy spheres from inequivalent coherent states quantizations",
    "url": "https://arxiv.org/abs/quant-ph/0610080"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c96028e7-22dd-431b-af2b-48a8665a25f7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}