{
  "annotation_id": "6990ec3c-22bd-46be-8c42-959f71b22416",
  "date_created": "2026-03-02T18:02:16.362000Z",
  "date_modified": "2026-03-02T18:02:16.362000Z",
  "file_hash": "b7fa977b750cbff9a73f571b012924ff646391979c56cdcff792531922b29db6",
  "private": false,
  "record": {
    "abstract": "The Lie algebra su(2) of the classical group SU(2) is built from two\ncommuting quon algebras for which the deformation parameter is a common root of\nunity. This construction leads to (i) a not very well-known polar decomposition\nof the ladder generators of the SU(2) group, in terms of a unitary operator and\na Hermitean operator, and (ii) a nonstandard quantization scheme, alternative\nto the usual quantization scheme correponding to the diagonalization of the\nCasimir of su(2) and of the z-generator. The representation theory of the SU(2)\ngroup can be developed in this nonstandard scheme. The key ideas for developing\nthe Wigner-Racah algebra of the SU(2) group in the nonstandard scheme are\ngiven. In particular, some properties of the coupling and recoupling\ncoefficients as well as the Wigner-Eckart theorem in the nonstandard scheme are\nexamined in great detail.",
    "arxiv_id": "quant-ph/0504025",
    "authors": [
      "M. R. Kibler"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Dans Collection of Czechoslovak Chemical Communications: a Special\n  Issue in honor of Professor Josef Paldus, Czechoslovak Academy of Sciences\n  (Ed.) (2005)",
    "title": "Representation theory and Wigner-Racah algebra of the SU(2) group in a   noncanonical basis",
    "url": "https://arxiv.org/abs/quant-ph/0504025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0988a410-2765-4bea-8120-567e99f3c797",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}