{
  "annotation_id": "235e21c8-d5df-4b8c-92a3-b19773bac278",
  "date_created": "2026-03-02T18:02:47.660000Z",
  "date_modified": "2026-03-02T18:02:47.660000Z",
  "file_hash": "e21664ac878c5fe321fc24b622256730dd14f44188a85bd1ee4f481e0c7380b6",
  "private": false,
  "record": {
    "abstract": "In this paper we construct generalizations to spheres of the well known\nLevi-Civita, Kustaanheimo-Steifel and Hurwitz regularizing transformations in\nEuclidean spaces of dimensions 2, 3 and 5. The corresponding classical and\nquantum mechanical analogues of the Kepler-Coulomb problem on these spheres are\ndiscussed.",
    "arxiv_id": "quant-ph/9906055",
    "authors": [
      "E. G. Kalnins",
      "W. Miller, Jr.",
      "G. S. Pogosyan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.533263",
    "journal_ref": "J.Math.Phys.41:2629-2657,2000",
    "title": "Coulomb-oscillator duality in spaces of constant curvature",
    "url": "https://arxiv.org/abs/quant-ph/9906055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "883fc26b-e1a2-47fa-a38d-73f718eb7b00",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}