{
  "annotation_id": "85f194f2-f086-4c65-bfd5-56680d0068f4",
  "date_created": "2026-03-02T18:02:48.007000Z",
  "date_modified": "2026-03-02T18:02:48.007000Z",
  "file_hash": "093c0de5b1185a4f87b45dfc8695148cdc265194a3001f383f1943e4a7c6ebae",
  "private": false,
  "record": {
    "abstract": "A procedure for constructing bound state potentials is given. We show that,\nunder the natural conditions imposed on a radial eigenvalue problem, the only\nspecial cases of the general central potential, which are exactly solvable and\nhave infinite number of energy eigenvalues, are the Coulomb and harmonic\noscillator potentials.",
    "arxiv_id": "quant-ph/9905011",
    "authors": [
      "N. Gurappa",
      "Prasanta K. Panigrahi",
      "T. Soloman Raju"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217732300002255",
    "journal_ref": "Mod.Phys.Lett.A15:1851-1858,2000",
    "title": "Quantum equivalent of the Bertrand\u0027s theorem",
    "url": "https://arxiv.org/abs/quant-ph/9905011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3aa350ec-ded4-4c7a-84a6-7802b91b6e73",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}