{
  "annotation_id": "5e8a1596-bb46-4dbc-894d-c067d7ef01c8",
  "date_created": "2026-03-02T18:01:21.470000Z",
  "date_modified": "2026-03-02T18:01:21.470000Z",
  "file_hash": "c216a9ca24c381ed43e19fe068842b40d53b60b95bc8eff23a1bc76d401104d0",
  "private": false,
  "record": {
    "abstract": "The Lie algebra of the classical group SU(2) is constructed from two quon\nalgebras for which the deformation parameter is a common root of unity. This\nconstruction leads to (i) a not very well-known polar decomposition of the\nladder generators of the SU(2) Lie algebra and to (ii) an alternative to the\n(J,M) quantization scheme, viz., the (J,alpha) quantization scheme. The key\nideas for developing the Wigner-Racah algebra of the group SU(2) in the\n(J,alpha) scheme are given. In particular, some properties of the coupling and\nrecoupling coefficients as well as the Wigner-Eckart theorem in the (J,alpha)\nscheme are briefly discussed.",
    "arxiv_id": "physics/9712034",
    "authors": [
      "M. Kibler",
      "M. Daoud"
    ],
    "categories": [
      "math-ph",
      "cond-mat.stat-mech",
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "title": "An Alternative Basis for the Wigner-Racah Algebra of the Group SU(2)",
    "url": "https://arxiv.org/abs/physics/9712034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd83e0e4-0fed-4e10-b9bb-599f5373d44a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}