{
  "annotation_id": "3a6013aa-7c25-40f2-89de-a399e350ac41",
  "date_created": "2026-03-02T18:01:21.618000Z",
  "date_modified": "2026-03-02T18:01:21.618000Z",
  "file_hash": "40eb052b6eb777e7ffc43f0d6359d96042455b26f7e8239b844550e643de979d",
  "private": false,
  "record": {
    "abstract": "We consider two quasi-exactly solvable problems in one dimension for which\nthe Schr\\\"odinger equation can be converted to Heun\u0027s equation. We show that in\nneither case the Bender-Dunne polynomials form an orthogonal set. Using the\nanti-isopectral transformation we also discover a new quasi-exactly solvable\nproblem and show that even in this case the polynomials do not form an\northogonal set.",
    "arxiv_id": "physics/9709043",
    "authors": [
      "Avinash Khare",
      "Bhabani Prasad Mandal"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(97)00897-9",
    "journal_ref": "Phys.Lett. A239 (1998) 197-200",
    "title": "Do Quasi-Exactly Solvable Systems Always Correspond to Orthogonal   Polynomials?",
    "url": "https://arxiv.org/abs/physics/9709043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6bf33dc-4ee2-4ebe-bb20-a90673d9e690",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}