{
  "annotation_id": "67739338-3af6-492d-983a-4bff7541bd67",
  "date_created": "2026-03-02T18:01:21.405000Z",
  "date_modified": "2026-03-02T18:01:21.405000Z",
  "file_hash": "62d2c2afb2f06249ccc8fa08137d12833970bbda43e4fee8bc2aac097dc89fcc",
  "private": false,
  "record": {
    "abstract": "The operator algebras of a new family of relativistic geometric models of the\nrelativistic oscillator are studied. It is shown that, generally, the operator\nof number of quanta and the pair of the shift operators of each model are the\ngenerators of a non-unitary representation of the $so(1,2)$ algebra, except a\nspecial case when this algebra becomes the standard one of the non-relativistic\nharmonic oscillator.",
    "arxiv_id": "physics/9705012",
    "authors": [
      "Ion I. Cot\u0103escu",
      "Gheorghe Draganescu"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.532148",
    "title": "The Operator Algebra of the Quantum Relativistic Oscillator",
    "url": "https://arxiv.org/abs/physics/9705012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a461c28d-4556-4e59-abd4-42a1f8738b05",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}