{
  "annotation_id": "a850e053-9259-4dbf-b354-c3e196a27284",
  "date_created": "2026-03-02T18:01:20.663000Z",
  "date_modified": "2026-03-02T18:01:20.663000Z",
  "file_hash": "a734fc32d18fa1f28db93dd295b6154d4d1c222592b08c242da8ac2f45ea9c94",
  "private": false,
  "record": {
    "abstract": "A family of geometric models of quantum relativistic rotating oscillator is\ndefined by using a set of one-parameter deformations of the static (3+1) de\nSitter or anti-de Sitter metrics. It is shown that all these models lead to the\nusual isotropic harmonic oscillator in the non-relativistic limit, even though\ntheir relativistic behavior is different. As in the case of the (1+1) models,\nthese will have even countable energy spectra or mixed ones, with a finite\ndiscrete sequence and a continuous part. In addition, all these spectra, except\nthat of the pure anti-de Sitter model, will have a fine-structure, given by a\nrotator-like term.",
    "arxiv_id": "physics/9704008",
    "authors": [
      "Ion I. Cot\u0103escu"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217732397000716",
    "journal_ref": "Mod.Phys.Lett. A12 (1997) 685-690",
    "title": "Geometric Models of the Quantum Relativistic Rotating Oscillator",
    "url": "https://arxiv.org/abs/physics/9704008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "baac06f1-7be1-4a72-8e87-62d91d111903",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}