{
  "annotation_id": "bd0c0ec8-ee34-4a40-aaa9-e1052fcc22ef",
  "date_created": "2026-03-02T18:02:41.046000Z",
  "date_modified": "2026-03-02T18:02:41.046000Z",
  "file_hash": "526a6e057da28da07baba866ac5e27759e6b55dca9733f64dab2eebdb60cbdea",
  "private": false,
  "record": {
    "abstract": "This article deals with a quantum-mechanical system which generalizes the\nordinary isotropic harmonic oscillator system. We give the coefficients\nconnecting the polar and Cartesian bases for D=2 and the coefficients\nconnecting the Cartesian and cylindrical bases as well as the cylindrical and\nspherical bases for D=3. These interbasis expansion coefficients are found to\nbe analytic continuations to real values of their arguments of the\nClebsch-Gordan coefficients for the group SU(2). For D=2, the superintegrable\ncharacter for the generalized oscillator system is investigated from the points\nof view of a quadratic invariance algebra.",
    "arxiv_id": "quant-ph/9712014",
    "authors": [
      "Y. M. Hakobyan",
      "M. Kibler",
      "G. S. Pogosyan",
      "A. N. Sissakian"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "physics.atm-clus",
      "physics.atom-ph",
      "physics.chem-ph"
    ],
    "journal_ref": "Phys.Atom.Nucl.61:1782-1788,1998; Yad.Fiz.61:1893-1899,1998",
    "title": "On a Generalized Oscillator: Invariance Algebra and Interbasis   Expansions",
    "url": "https://arxiv.org/abs/quant-ph/9712014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5d942bca-2f7c-4441-8f1b-eb2b5dc5a616",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}