{
  "annotation_id": "2e8d75f3-af21-4409-a661-d58ab4e8fbc8",
  "date_created": "2026-03-02T18:01:27.866000Z",
  "date_modified": "2026-03-02T18:01:27.866000Z",
  "file_hash": "94d6b879e19b546498f84355f24bd9bd22230fa4374f30167baf7b74ef388693",
  "private": false,
  "record": {
    "abstract": "Using the Baker-Akhiezer function technique we construct a separation of\nvariables for the classical trigonometric 3-particle Ruijsenaars model\n(relativistic generalization of Calogero-Moser-Sutherland model). In the\nquantum case, an integral operator M is constructed from the Askey-Wilson\ncontour integral. The operator M transforms the eigenfunctions of the commuting\nHamiltonians (Macdonald polynomials for the root sytem A2) into the factorized\nform S(y1)S(y2) where S(y) is a Laurent polynomial of one variable expressed in\nterms of the 3phi2(y) basic hypergeometric series. The inversion of M produces\na new integral representation for the A2 Macdonald polynomials. We also present\nsome results and conjectures for general n-particle case.",
    "arxiv_id": "q-alg/9602023",
    "authors": [
      "Vadim B. Kuznetsov",
      "Evgueni K. Sklyanin"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.CA",
      "math.QA",
      "nlin.SI",
      "solv-int"
    ],
    "doi": "10.1088/0305-4470/29/11/014",
    "journal_ref": "J.Phys.A29:2779-2804,1996",
    "title": "Separation of variables for A2 Ruijsenaars model and new integral   representation for A2 Macdonald polynomials",
    "url": "https://arxiv.org/abs/q-alg/9602023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1f0c8b32-d359-431b-84de-ee565cc4f553",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}