{
  "annotation_id": "9c30c306-f780-4358-af95-5e112164e5f2",
  "date_created": "2026-03-02T18:02:50.708000Z",
  "date_modified": "2026-03-02T18:02:50.708000Z",
  "file_hash": "686b9a526d7ccff010afed6a87a79d1a9ad6c24b2851e28d841aa9be0df0402c",
  "private": false,
  "record": {
    "abstract": "We establish a simple algebraic relationship between the energy eigenstates\nof the rational Calogero-Sutherland model with harmonic oscillator and\nCoulomb-like potentials. We show that there is an underlying SU(1,1) algebra in\nboth of these models which plays a crucial role in such an identification.\nFurther, we show that our analysis is in fact valid for any many-particle\nsystem in arbitrary dimensions whose potential term (apart from the oscillator\nor the Coulomb-like potential) is a homogeneous function of coordinates of\ndegree -2. The explicit coordinate transformation which maps the Coulomb-like\nproblem to the oscillator one has also been determined in some specific cases.",
    "arxiv_id": "solv-int/9808005",
    "authors": [
      "Pijush K. Ghosh",
      "Avinash Khare"
    ],
    "categories": [
      "solv-int",
      "cond-mat",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/32/11/008",
    "journal_ref": "Journal of Physics A : Math. \u0026 Gen. 32 (1999) 2129-2140",
    "title": "Relationship Between the Energy Eigenstates of Calogero-Sutherland   Models With Oscillator and Coulomb-like Potentials",
    "url": "https://arxiv.org/abs/solv-int/9808005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3f0377a2-7bad-4151-bf30-d48d715fe3e0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}