{
  "annotation_id": "b1c3f533-8a01-4fce-bef4-5826de2bc58e",
  "date_created": "2026-03-02T18:01:52.609000Z",
  "date_modified": "2026-03-02T18:01:52.609000Z",
  "file_hash": "745c83296b6227d789b6434b2e99ca52915ba39e6bf6b77d9694b1b62862ce20",
  "private": false,
  "record": {
    "abstract": "We study the competitive action of magnetic field, Coulomb repulsion and\nspace curvature on the motion of a charged particle. The three types of\ninteraction are characterized by three basic lengths: l_{B} the magnetic\nlength, l_{0} the Bohr radius and R the radius of the sphere. The energy\nspectrum of the particle is found by solving a Schr\\\"odinger equation of the\nHeun type, using the technique of continued fractions. It displays a rich set\nof functioning regimes where ratios \\frac{R}{l_{B}} and \\frac{R}{l_{0}} take\ndefinite values.",
    "arxiv_id": "quant-ph/0209152",
    "authors": [
      "A. Ralko",
      "T. T. Truong"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall"
    ],
    "doi": "10.1088/0305-4470/35/45/306",
    "title": "Heun Functions and the energy spectrum of a charged particle on a sphere   under magnetic field and Coulomb force",
    "url": "https://arxiv.org/abs/quant-ph/0209152"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "84318494-9fdd-44ef-9464-67cae51cf5cb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}