{
  "annotation_id": "f0290cc6-9001-44e8-a0c6-2f09ff48a8cb",
  "date_created": "2026-03-02T18:02:37.453000Z",
  "date_modified": "2026-03-02T18:02:37.453000Z",
  "file_hash": "6d3b0ed08de70339ffad6bb588c1803b344fa0df581bdffb8bcc78f7b36b523f",
  "private": false,
  "record": {
    "abstract": "One may obtain, using operator transformations, algebraic relations between\nthe Fourier transforms of the causal propagators of different exactly solvable\npotentials. These relations are derived for the shape invariant potentials.\nAlso, potentials related by real transformation functions are shown to have the\nsame spectrum generating algebra with Hermitian generators related by this\noperator transformation.",
    "arxiv_id": "quant-ph/9609019",
    "authors": [
      "Andrew J. Bordner"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/30/11/020",
    "journal_ref": "J.Phys.A30:3927,1997",
    "title": "Operator Transformations Between Exactly Solvable Potentials and Their   Lie Group Generators",
    "url": "https://arxiv.org/abs/quant-ph/9609019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4fb2008f-34dd-40e0-9a2e-9d57127d80f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}