{
  "annotation_id": "0902314e-345e-4601-a3fc-3c909079c7ac",
  "date_created": "2026-03-02T18:02:51.521000Z",
  "date_modified": "2026-03-02T18:02:51.521000Z",
  "file_hash": "bf86c53bcce063a0ed1e35ab63154f0f7efde33c634766357e4cf39a72cc9afc",
  "private": false,
  "record": {
    "abstract": "For the integrable case of the discrete self-trapping (DST) model we\nconstruct a Backlund transformation. The dual Lax matrix and the corresponding\ndual Backlund transformation are also found and studied. The quantum analog of\nthe Backlund transformation (Q-operator) is constructed as the trace of a\nmonodromy matrix with an infinite-dimensional auxiliary space. We present the\nQ-operator as an explicit integral operator as well as describe its action on\nthe monomial basis. As a result we obtain a family of integral equations for\nmultivariable polynomial eigenfunctions of the quantum integrable DST model.\nThese eigenfunctions are special functions of the Heun class which is beyond\nthe hypergeometric class. The found integral equations are new and they shall\nprovide a basis for efficient analytical and numerical studies of such\ncomplicated functions.",
    "arxiv_id": "solv-int/9908002",
    "authors": [
      "V. B. Kuznetsov",
      "M. Salerno",
      "E. K. Sklyanin"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math.CA",
      "math.QA",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/33/1/311",
    "journal_ref": "J.Phys.A33:171-189,2000",
    "title": "Quantum Backlund transformation for the integrable DST model",
    "url": "https://arxiv.org/abs/solv-int/9908002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e5e49686-f3b7-42f1-a18b-d9d08889c64b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}