{
  "annotation_id": "aa70f1af-db23-4e9d-a951-4cf2ffe2d1c7",
  "date_created": "2026-03-02T18:02:20.236000Z",
  "date_modified": "2026-03-02T18:02:20.236000Z",
  "file_hash": "f3afccba5f97f47dc95c09e839cf0e25639350acc4cb0fbb00e3a35da1786a67",
  "private": false,
  "record": {
    "abstract": "The Lie algebra of the group SU(2) is constructed from two deformed\noscillator algebras for which the deformation parameter is a root of unity.\nThis leads to an unusual quantization scheme, the {J2,Ur} scheme, an\nalternative to the familiar {J2,Jz} quantization scheme corresponding to common\neigenvectors of the Casimir operator J2 and the Cartan operator Jz. A\nconnection is established between the eigenvectors of the complete set of\ncommuting operators {J2,Ur} and mutually unbiased bases in spaces of constant\nangular momentum.",
    "arxiv_id": "quant-ph/0510124",
    "authors": [
      "M. R. Kibler"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217979206034297",
    "journal_ref": "International Journal of Modern Physics B 20 (2006) 1792-1801",
    "title": "Angular Momentum and Mutually Unbiased Bases",
    "url": "https://arxiv.org/abs/quant-ph/0510124"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9c63fe0a-ca06-4b49-ab08-130f3203d0b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}