{
  "annotation_id": "86388e90-4a28-4364-a3bb-3f5c59955d66",
  "date_created": "2026-03-02T18:01:53.156000Z",
  "date_modified": "2026-03-02T18:01:53.156000Z",
  "file_hash": "4ba972c9a2fc7c8680cee67cd71e9138c4a5447ec351c26d8540f56d07de0ece",
  "private": false,
  "record": {
    "abstract": "The Schr\\\" odinger equations which are exactly solvable in terms of\nassociated special functions are directly related to some self-adjoint\noperators defined in the theory of hypergeometric type equations. The\nfundamental formulae occurring in a supersymmetric approach to these\nHamiltonians are consequences of some formulae concerning the general theory of\nassociated special functions. We use this connection in order to obtain a\ngeneral theory of Schr\\\" odinger equations exactly solvable in terms of\nassociated special functions, and to extend certain results known in the case\nof some particular potentials.",
    "arxiv_id": "quant-ph/0206129",
    "authors": [
      "N. Cotfas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/44/306",
    "title": "Shape invariance, raising and lowering operators in hypergeometric type   equations",
    "url": "https://arxiv.org/abs/quant-ph/0206129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ece87049-282f-4ab0-8b60-76ca56586dd6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}