{
  "annotation_id": "c9d71e23-12dd-47fa-a33e-79247a0ae69f",
  "date_created": "2026-03-02T18:02:03.307000Z",
  "date_modified": "2026-03-02T18:02:03.307000Z",
  "file_hash": "afd57f88f9228b67701ca0ff29906c26878ad2bca99b654d2cd29132aa18f3cb",
  "private": false,
  "record": {
    "abstract": "The Kravchuk and Meixner polynomials of discrete variable are introduced for\nthe discrete models of the harmonic oscillator and hydrogen atom. Starting from\nRodrigues formula we construct raising and lowering operators, commutation and\nanticommutation relations. The physical properties of discrete models are\nfigured out through the equivalence with the continuous models obtained by\nlimit process.",
    "arxiv_id": "quant-ph/0401087",
    "authors": [
      "M. Lorente"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(01)00303-6",
    "journal_ref": "Phys. Lett. A. 285 (2001) 119-126",
    "title": "Continuous vs. discrete models for the quantum harmonic oscillator and   the hydrogen atom",
    "url": "https://arxiv.org/abs/quant-ph/0401087"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "90b99987-97f8-49db-ac14-8ee76b329c6e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}