{
  "annotation_id": "939ae91b-ff8f-46d8-9db0-748b6264b173",
  "date_created": "2026-03-02T18:02:50.836000Z",
  "date_modified": "2026-03-02T18:02:50.836000Z",
  "file_hash": "2fc1bfcd3c467658c7f4edc6d6baa3a3bd8a853b8ad16621b7a62c200751adbc",
  "private": false,
  "record": {
    "abstract": "Multivariable generalizations of the classical Hermite, Laguerre and Jacobi\npolynomials occur as the polynomial part of the eigenfunctions of certain\nSchr\\\"odinger operators for Calogero-Sutherland-type quantum systems. For the\ngeneralized Hermite and Laguerre polynomials the multidimensional analogues of\nmany classical results regarding generating functions, differentiation and\nintegration formulas, recurrence relations and summation theorems are obtained.\nWe use this and related theory to evaluate the global limit of the ground state\ndensity, obtaining in the Hermite case the Wigner semi-circle law, and to give\nan explicit solution for an initial value problem in the Hermite and Laguerre\ncase.",
    "arxiv_id": "solv-int/9608004",
    "authors": [
      "T. H. Baker",
      "P. J. Forrester"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1007/s002200050161",
    "journal_ref": "Commun.Math.Phys. 188 (1997) 175-216",
    "title": "The Calogero-Sutherland Model and Generalized Classical Polynomials",
    "url": "https://arxiv.org/abs/solv-int/9608004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "896f12bc-a4e9-4fa4-830c-e079ceebfdd6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}