{
  "annotation_id": "e6009d1e-2966-4c4a-96c5-adb0c834fa02",
  "date_created": "2026-03-02T18:01:28.599000Z",
  "date_modified": "2026-03-02T18:01:28.599000Z",
  "file_hash": "1a99924d8cd6bda101ee99ede7b7968e3263a1a6480e3ecb36c187b7806a3b2a",
  "private": false,
  "record": {
    "abstract": "Using a complex deformation q=exp(is) of su(2) we obtain extensions of the\nfinite-dimensional representations towards the infinite-dimensional ones. A\ngeneralised q-deformation of su(2), as a Hopf algebra is introduced. We present\nthe corresponding Schrodinger picture, by using a differential realisation, and\na large class of potentials is obtained.A connection between the unirreps with\nq a root of unity and the comensurability of the potentials is investigated.\nThe smooth transition between su(2) and su(1,1) , through E(1) is obtained at\ndifferent levels: of the unirreps, of the topology, of the commutators and of\nthe potentials in the corresponding Schrodinger equation.",
    "arxiv_id": "q-alg/9612007",
    "authors": [
      "A. Ludu",
      "W. Scheid"
    ],
    "categories": [
      "q-alg",
      "math.QA",
      "nucl-th"
    ],
    "title": "Complex su_q(2) Dynamical Symmetry, Limiting Cases and 1-Dimensional   Potential Realisation",
    "url": "https://arxiv.org/abs/q-alg/9612007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "36d105ee-98dc-4914-a31d-2443b396a274",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}