{
  "annotation_id": "69b68b65-5dcb-4dd8-ab5e-47514c2de69e",
  "date_created": "2026-03-02T18:01:25.404000Z",
  "date_modified": "2026-03-02T18:01:25.404000Z",
  "file_hash": "457ef8d409042fdc9f9d70217176eb3c8b94e7f8b7d1b13ff3e91079012d5029",
  "private": false,
  "record": {
    "abstract": "The dynamical algebra of the q-deformed harmonic oscillator is constructed.\nAs a result, we find the free deformed Hamiltonian as well as the Hamiltonian\nof the deformed oscillator as a complicated, momentum dependent interaction\nHamiltonian in terms of the usual canonical variables. Furthermore we construct\na well-defined algebra SU$_q$(1,1) with consistent conjugation properties and\ncomultiplication. We obtain non lowest weight representations of this algebra.",
    "arxiv_id": "q-alg/9502007",
    "authors": [
      "A. Lorek",
      "J. Wess"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1007/BF01553994",
    "journal_ref": "Z.Phys. C67 (1995) 671-680",
    "title": "Dynamical Symmetries in q-deformed Quantum Mechanics",
    "url": "https://arxiv.org/abs/q-alg/9502007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "067ab211-d61f-48ec-b7ae-fe3f94de8a82",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}