{
  "annotation_id": "5498e987-d394-4e69-8803-aa4288631f09",
  "date_created": "2026-03-02T18:01:49.434000Z",
  "date_modified": "2026-03-02T18:01:49.434000Z",
  "file_hash": "b2ac2b9c41553eda492f7a90a608e8c1bbaec5386dff87827970181206dc66fe",
  "private": false,
  "record": {
    "abstract": "As an extension of the intertwining operator idea, an algebraic method which\nprovides a link between supersymmetric quantum mechanics and quantum\n(super)integrability is introduced. By realization of the method in two\ndimensions, two infinite families of superintegrable and isospectral stationary\npotentials are generated. The method makes it possible to perform Darboux\ntransformations in such a way that, in addition to the isospectral property,\nthey acquire the superintegrability preserving property. Symmetry generators\nare second and fourth order in derivatives and all potentials are isospectral\nwith one of the Smorodinsky-Winternitz potentials. Explicit expressions of the\npotentials, their dynamical symmetry generators and the algebra they obey as\nwell as their degenerate spectra and corresponding normalizable states are\npresented.",
    "arxiv_id": "quant-ph/0201099",
    "authors": [
      "B. Demircioglu",
      "S. Kuru",
      "M. Onder",
      "A. Vercin"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "doi": "10.1063/1.1463217",
    "journal_ref": "JMP, 43, 2133 (2002)",
    "title": "Two families of superintegrable and isospectral potentials in two   dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0201099"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ead19b68-ae06-44f3-9b5f-7f89d6517de9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}