{
  "annotation_id": "fdaf36e9-b4f3-41d5-b7e2-a2cdfcd7167d",
  "date_created": "2026-03-02T18:02:50.966000Z",
  "date_modified": "2026-03-02T18:02:50.966000Z",
  "file_hash": "320a5d67a7863ce3b8a085332308c83b739aaffdc41d500818b57654f544750a",
  "private": false,
  "record": {
    "abstract": "In this article, we study and settle several structural questions concerning\nthe exact solvability of the Olshanetsky-Perelomov quantum Hamiltonians\ncorresponding to an arbitrary root system. We show that these operators can be\nwritten as linear combinations of certain basic operators admitting infinite\nflags of invariant subspaces, namely the Laplacian and the logarithmic gradient\nof invariant factors of the Weyl denominator. The coefficients of the\nconstituent linear combination become the coupling constants of the final\nmodel. We also demonstr ate the $L^2$ completeness of the eigenfunctions\nobtained by this procedure, and describe a straight-forward recursive procedure\nbased on the Freudenthal multiplicity formula for constructing the\neigenfunctions explicitly.",
    "arxiv_id": "solv-int/9810017",
    "authors": [
      "N. Kamran",
      "R. Milson"
    ],
    "categories": [
      "solv-int",
      "math-ph",
      "math.MP",
      "math.SP",
      "nlin.SI"
    ],
    "doi": "10.1063/1.533012",
    "title": "Algebraic Exact Solvability of trigonometric-type Hamiltonians   associated to root systems",
    "url": "https://arxiv.org/abs/solv-int/9810017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8b5112b5-7802-4d86-a378-551184b75941",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}