{
  "annotation_id": "afe2c639-24f1-4200-8a6f-85e4efd9ff5d",
  "date_created": "2026-03-02T18:01:49.224000Z",
  "date_modified": "2026-03-02T18:01:49.224000Z",
  "file_hash": "986e2a453e9766cb6a4d1c08dcaa7c1a728649d58bd80415004d69bc3cd2c725",
  "private": false,
  "record": {
    "abstract": "We construct new quasi-exactly solvable one-dimensional potentials through\nDarboux transformations. Three directions are investigated:\n  Reducible and two types of irreducible second-order transformations. The\nirreducible transformations of the first type give singular intermediate\npotentials and the ones of the second type give complex-valued intermediate\npotentials while final potentials are meaningful in all cases.\n  These developments are illustrated on the so-called radial sextic oscillator.",
    "arxiv_id": "quant-ph/0201105",
    "authors": [
      "N. Debergh",
      "Boris F. Samsonov",
      "B. Van Den Bossche"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217751X02009953",
    "title": "Darboux transformations for quasi-exactly solvable Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0201105"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "90155b30-debe-4eb4-a18e-2a4d04b96e26",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}