{
  "id": "math-ph/0407050",
  "version": "v3",
  "published": "2004-07-21T19:42:11.000Z",
  "updated": "2004-09-06T19:36:24.000Z",
  "title": "An explicit solution of the (quantum) elliptic Calogero-Sutherland model",
  "authors": [
    "Edwin Langmann"
  ],
  "comment": "16 pages, Contribution to SPT 2004 in Cala Gonone (Sardinia, Italy) v2 and v3: minor corrections",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We present explicit formulas for the eigenvalues and eigenfunctions of the elliptic Calogero-Sutherland (eCS) model as formal power series to all orders in the nome of the elliptic functions, for arbitrary values of the (positive) coupling constant and particle number. Our solution gives explicit formulas for an elliptic deformation of the Jack polynomials.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-09-06T19:36:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q58",
      "81Q05"
    ],
    "keywords": [
      "elliptic calogero-sutherland model",
      "explicit solution",
      "explicit formulas",
      "formal power series",
      "jack polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 655035,
      "adsabs": "2004math.ph...7050L"
    }
  }
}