{
  "id": "math-ph/0102005",
  "version": "v1",
  "published": "2001-02-07T18:11:54.000Z",
  "updated": "2001-02-07T18:11:54.000Z",
  "title": "Second quantization of the elliptic Calogero-Sutherland model",
  "authors": [
    "Edwin Langmann"
  ],
  "comment": "36 pages",
  "journal": "Commun.Math.Phys. 247 (2004) 321-351",
  "doi": "10.1007/s00220-004-1077-8",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We use loop group techniques to construct a quantum field theory model of anyons on a circle and at finite temperature. We find an anyon Hamiltonian providing a second quantization of the elliptic Calogero-Sutherland model. This allows us to prove a remarkable identity which is a starting point for an algorithm to construct eigenfunctions and eigenvalues of the elliptic Calogero-Sutherland Hamiltonian (this algorithm is elaborated elsewhere). This paper contains a detailed introduction, technical details and proofs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-02-07T18:11:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T10",
      "81V70",
      "17B69"
    ],
    "keywords": [
      "elliptic calogero-sutherland model",
      "second quantization",
      "quantum field theory model",
      "loop group techniques",
      "elliptic calogero-sutherland hamiltonian"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2004,
      "volume": 247,
      "number": 2,
      "pages": 321
    },
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 554810,
      "adsabs": "2004CMaPh.247..321L"
    }
  }
}