{
  "annotation_id": "5b586265-c48f-4620-9c67-661dd7862dd5",
  "date_created": "2026-03-02T18:02:50.697000Z",
  "date_modified": "2026-03-02T18:02:50.697000Z",
  "file_hash": "6f6202f603cea97bb8f8b348aef457692282e7d1233687e3bfe4723b6f82576a",
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  "record": {
    "abstract": "It is shown that all 3-body quantal integrable systems that emerge in the\nHamiltonian reduction method possess the same hidden algebraic structure. All\nof them are given by a second degree polynomial in generators of an\ninfinite-dimensional Lie algebra of differential operators. It leads to new\nfamilies of the orthogonal polynomials in two variables.",
    "arxiv_id": "solv-int/9805003",
    "authors": [
      "Alexander Turbiner"
    ],
    "categories": [
      "solv-int",
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP",
      "math.RT",
      "math.SP",
      "nlin.SI"
    ],
    "doi": "10.1142/S0217732398001558",
    "journal_ref": "Modern Physics Letters A, 13(1998)1473-1483",
    "title": "Hidden Algebra of Three-Body Integrable Systems",
    "url": "https://arxiv.org/abs/solv-int/9805003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "237f1c36-3125-4b73-a20d-4c5c306a50db",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}