{
  "annotation_id": "e18df889-f27d-41b7-ad77-d4beda4c6bcb",
  "date_created": "2026-03-02T18:02:48.478000Z",
  "date_modified": "2026-03-02T18:02:48.478000Z",
  "file_hash": "eedc3cfcca328d1d0e3ce5b91f8c472f81699ec8af75de921f592f3528a6ee38",
  "private": false,
  "record": {
    "abstract": "An old result of A.F. Stevenson [Phys. Rev.} 59, 842 (1941)] concerning the\nKepler-Coulomb quantum problem on the three-dimensional (3D) hypersphere is\nconsidered from the perspective of the radial Schr\\\"odinger equations on 3D\nspaces of any (either positive, zero or negative) constant curvature. Further\nto Stevenson, we show in detail how to get the hypergeometric wavefunction for\nthe hydrogen atom case. Finally, we make a comparison between the ``space\ncurvature\" effects and minimal length effects for the hydrogen spectrum",
    "arxiv_id": "quant-ph/9911010",
    "authors": [
      "L. M. Nieto",
      "H. C. Rosu",
      "M. Santander"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S021773239900256X",
    "journal_ref": "Mod. Phys. Lett. A 14 (1999) 2463-2469",
    "title": "Hydrogen atom as an eigenvalue problem in 3D spaces of constant   curvature and minimal length",
    "url": "https://arxiv.org/abs/quant-ph/9911010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "73566bca-d8ef-48fd-a632-4cfad3b40db9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}