{
  "annotation_id": "46271e0d-9e2b-4ad2-b794-3bce186e80a9",
  "date_created": "2026-03-02T18:02:41.496000Z",
  "date_modified": "2026-03-02T18:02:41.496000Z",
  "file_hash": "123440f2a739f2fd092abe9a9daf74ff8e319ea4e7cce854bd6f78620e67b355",
  "private": false,
  "record": {
    "abstract": "We consider the double sinh-Gordon potential which is a quasi-exactly\nsolvable problem and show that in this case one has two sets of Bender-Dunne\northogonal polynomials . We study in some detail the various properties of\nthese polynomials and the corresponding quotient polynomials. In particular, we\nshow that the weight functions for these polynomials are not always positive.\nWe also study the orthogonal polynomials of the double sine-Gordon potential\nwhich is related to the double sinh-Gordon case by an anti-isospectral\ntransformation. Finally we discover a new quasi-exactly solvable problem by\nmaking use of the anti-isospectral transformation.",
    "arxiv_id": "quant-ph/9711001",
    "authors": [
      "Avinash Khare",
      "Bhabani Prasad Mandal"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.532442",
    "journal_ref": "J.Math.Phys. 39 (1998) 3476-3486",
    "title": "Anti-isospectral Transformations, Orthogonal Polynomials and   Quasi-Exactly Solvable Problems",
    "url": "https://arxiv.org/abs/quant-ph/9711001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "79dcb5b7-f343-417e-9668-bf10fbb8b7e9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}