{
  "id": "1802.00416",
  "version": "v1",
  "published": "2018-02-01T17:59:23.000Z",
  "updated": "2018-02-01T17:59:23.000Z",
  "title": "Semiclassical geometry of integrable systems",
  "authors": [
    "Nicolai Reshetikhin"
  ],
  "comment": "23 pages, 5 figures",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.RT"
  ],
  "abstract": "The main result of this paper is a formula for the scalar product of semiclassical eigenvectors of two integrable systems on the same symplectic manifold. An important application of this formula is the Ponzano-Regge type of asymptotic of Racah-Wigner coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-01T17:59:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q20",
      "17B80"
    ],
    "keywords": [
      "integrable systems",
      "semiclassical geometry",
      "racah-wigner coefficients",
      "scalar product",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}