{
  "annotation_id": "15eaafb3-1f87-4500-adab-fb124d6dfc4e",
  "date_created": "2026-03-02T18:02:10.330000Z",
  "date_modified": "2026-03-02T18:02:10.330000Z",
  "file_hash": "edff04942b65cb65a1289d9fb141356c7147b694bcdd582ff3b2bd9d94169b05",
  "private": false,
  "record": {
    "abstract": "We examine shape invariant potentials (excluding those that are obtained by\nscaling) in supersymmetric quantum mechanics from the stand-point of periodic\norbit theory. An exact trace formula for the quantum spectra of such potentials\nis derived. Based on this result, and Barclay\u0027s functional relationship for\nsuch potentials, we present a new derivation of the result that the lowest\norder SWKB quantisation rule is exact.",
    "arxiv_id": "quant-ph/0410041",
    "authors": [
      "Rajat K. Bhaduri",
      "Jamal Sakhr",
      "D. W. L. Sprung",
      "Ranabir Dutt",
      "Akira Suzuki"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/38/11/L01",
    "journal_ref": "J.Phys. A38 (2005) L183",
    "title": "Shape invariant potentials in SUSY quantum mechanics and periodic orbit   theory",
    "url": "https://arxiv.org/abs/quant-ph/0410041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6bb41cfa-b3df-4ab9-b2d5-0a49eefcd18f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}