{
  "annotation_id": "cb4ef54a-9e46-424c-8de9-4d6098127cd7",
  "date_created": "2026-03-02T18:02:20.581000Z",
  "date_modified": "2026-03-02T18:02:20.581000Z",
  "file_hash": "611cf31949af4ce54a14ac15b7d15babc06b3e3ddc31f1ff457f7e0410afbae2",
  "private": false,
  "record": {
    "abstract": "The analytic solutions of the one-dimensional Schroedinger equation for the\ntrigonometric Rosen-Morse potential reported in the literature rely upon the\nJacobi polynomials with complex indices and complex arguments. We first draw\nattention to the fact that the complex Jacobi polynomials have non-trivial\northogonality properties which make them uncomfortable for physics\napplications. Instead we here solve above equation in terms of real orthogonal\npolynomials. The new solutions are used in the construction of the\nquantum-mechanic superpotential.",
    "arxiv_id": "quant-ph/0509055",
    "authors": [
      "C. B. Compean",
      "M. Kirchbach"
    ],
    "categories": [
      "quant-ph",
      "hep-ph",
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "doi": "10.1088/0305-4470/39/3/007",
    "journal_ref": "J.Phys. A39 (2006) 547-558",
    "title": "The Trigonometric Rosen-Morse Potential in the Supersymmetric Quantum   Mechanics and its Exact Solutions",
    "url": "https://arxiv.org/abs/quant-ph/0509055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bfd9ad99-2c55-4d96-8c85-6fc3bb6e4514",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}