{
  "annotation_id": "5b2460e7-3be0-4d7b-97c0-b912d5e5a1fe",
  "date_created": "2026-03-02T18:02:41.652000Z",
  "date_modified": "2026-03-02T18:02:41.652000Z",
  "file_hash": "92f92f2b2a5c40882e4cf8c7af365d7423cb204ed31c80ab6cc50a38341c670b",
  "private": false,
  "record": {
    "abstract": "This article deals with nonrelativistic study of a D-dimensional\nsuperintegrable system, which generalizes the ordinary isotropic oscillator\nsystem. The coefficients for the expansion between the hyperspherical and\nCartesian bases (transition matrix), and vice-versa, are found in terms of the\nSU(2) Clebsch--Gordan coefficients analytically continued to real values of\ntheir arguments. The diagram method, which allow one to construct a transition\nmatrix for arbitrary dimension, is developed.",
    "arxiv_id": "quant-ph/9804072",
    "authors": [
      "Ye. M. Hakobyan",
      "G. S. Pogosyan",
      "A. N. Sissakian"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Phys. Atom. Nucl. 61 (1998) 1762-1767; Yad.Fiz. 61 (1998)\n  1873-1878",
    "title": "On a Generalized D-Dimensional Oscillator: Interbasis Expansions",
    "url": "https://arxiv.org/abs/quant-ph/9804072"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bea5e6bf-de74-47cd-8c94-66c0914b6dab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}