{
  "annotation_id": "650369f9-08ae-45c7-a3b0-b8c3029a8d45",
  "date_created": "2026-03-02T18:01:46.119000Z",
  "date_modified": "2026-03-02T18:01:46.119000Z",
  "file_hash": "1815801320c7eed150f9edbc78700ed936cdceabc0ccce832460d3131c664455",
  "private": false,
  "record": {
    "abstract": "The properties of the modified P\\\"{o}schl-Teller (MPT) potential are\noutlined. The ladder operators are constructed directly from the wave functions\nwithout introducing any auxiliary variable. It is shown that these operators\nare associated to the $su(2)$ algebra. Analytical expressions for the functions\n$\\sinh(\\alpha x)$ and $\\frac{\\cosh(\\alpha x)}{\\alpha} \\frac{d}{dx}$ are\nevaluated from these ladder operators. The expansions of the coordinate $x$ and\nmomentum $\\hat p$ in terms of the $su(2)$ generators are presented. This\nanalysis allows to establish an exact quantum-mechanical connection between the\n$su(2)$ vibron model and the traditional descriptions of molecular vibron.",
    "arxiv_id": "quant-ph/0110157",
    "authors": [
      "Shi-Hai Dong",
      "R. Lemus"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A new dynamical group approach to the modified Poschl-Teller potential",
    "url": "https://arxiv.org/abs/quant-ph/0110157"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5f9b55fd-76ba-4617-8abc-656bd5796a65",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}