{
  "annotation_id": "8769c572-9896-4eb8-884d-1246c2f093e0",
  "date_created": "2026-03-02T18:02:31.203000Z",
  "date_modified": "2026-03-02T18:02:31.203000Z",
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  "private": false,
  "record": {
    "abstract": "Fractional supersymmetric quantum mechanics is developed from a generalized\nWeyl-Heisenberg algebra. The Hamiltonian and the supercharges of fractional\nsupersymmetric dynamical systems are built in terms of the generators of this\nalgebra. The Hamiltonian gives rise to a hierarchy of isospectral Hamiltonians.\nSpecial cases of the algebra lead to dynamical systems for which the\nisospectral supersymmetric partner Hamiltonians are connected by a\n(translational or cyclic) shape invariance condition.",
    "arxiv_id": "quant-ph/0609017",
    "authors": [
      "Maurice Robert Kibler",
      "Mohammed Daoud"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.2401711",
    "journal_ref": "J.Math.Phys.47:122108,2006",
    "title": "Fractional supersymmetry and hierarchy of shape invariant potentials",
    "url": "https://arxiv.org/abs/quant-ph/0609017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "54599303-258f-42fd-9aa8-4729ecf24804",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}