{
  "annotation_id": "6f1d256c-6729-4b9f-ae64-d18bb5dc019c",
  "date_created": "2026-03-02T18:02:03.353000Z",
  "date_modified": "2026-03-02T18:02:03.353000Z",
  "file_hash": "367cc20e200b191609e18d913f6416ecc944ea6c0c6cb6b37b4b918aa5e2022d",
  "private": false,
  "record": {
    "abstract": "This paper deals with the dynamical system that generalizes the MIC-Kepler\nsystem. It is shown that the Schr\\\"{o}dinger equation for this generalized\nMIC-Kepler system can be separated in prolate spheroidal coordinates. The\ncoefficients of the interbasis expansions between three bases (spherical,\nparabolic and spheroidal) are studied in detail. It is found that the\ncoefficients for this expansion of the parabolic basis in terms of the\nspherical basis, and vice-versa, can be expresses through the Clebsch-Gordan\ncoefficients for the group SU(2) analytically continued to real values of their\narguments. The coefficients for the expansions of the prolate spheroidal basis\nin terms of the spherical and parabolic bases are proved to satisfy three-term\nrecursion relations.",
    "arxiv_id": "quant-ph/0310143",
    "authors": [
      "Levon Mardoyan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1134/1.2121925",
    "journal_ref": "Phys.Atom.Nucl. 68 (2005) 1746-1755; Yad.Fiz. 68 (2005) 1808-1816",
    "title": "Spheroidal analysis of the generalized MIC-Kepler system",
    "url": "https://arxiv.org/abs/quant-ph/0310143"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "20ca6a06-c53d-4d7e-889b-a3df7c0fa1e7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}