{
  "annotation_id": "6db0aaf5-d5cc-4f03-905b-a7e0d0f2d5fe",
  "date_created": "2026-03-02T18:01:27.745000Z",
  "date_modified": "2026-03-02T18:01:27.745000Z",
  "file_hash": "81efcb026aa2a4a80e74e5a9165d35f77f59e52548f6ad94cbda2faba3895096",
  "private": false,
  "record": {
    "abstract": "The various relations between $q$-deformed oscillators algebras and the\n$q$-deformed $su(2)$ algebras are discussed. In particular, we exhibit the\nsimilarity of the $q$-deformed $su(2)$ algebra obtained from $q$-oscillators\nvia Schwinger construction and those obtained from $q$-Holstein-Primakoff\ntransformation and show how the relation between $su_{\\sqrt{q}}(2)$ and Hong\nYan $q$-oscillator can be regarded as an special case of In\\\"{o}u\\\"{e}- Wigner\ncontraction. This latter observation and the imposition of positive norm\nrequirement suggest that Hong-Yan $q$-oscillator algebra is different from the\nusual $su_{\\sqrt{q}}(2)$ algebra, contrary to current belief in the literature.",
    "arxiv_id": "q-alg/9707024",
    "authors": [
      "L. C. Kwek",
      "C. H. Oh"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/s100529800816",
    "title": "Some comments on $q$-deformed oscillators and $q$-deformed $su(2)$   algebras",
    "url": "https://arxiv.org/abs/q-alg/9707024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0af61e27-5046-4cd2-9e73-41bd49d7f594",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}