{
  "id": "1307.1785",
  "version": "v1",
  "published": "2013-07-06T13:57:17.000Z",
  "updated": "2013-07-06T13:57:17.000Z",
  "title": "Harmonic analysis on Lagrangian manifolds of integrable Hamiltonian systems",
  "authors": [
    "Julia Bernatska",
    "Petro Holod"
  ],
  "comment": "13 pages, XIVth International Conference 'Geometry, Integrability and Quantization', June 8-13, 2012, Varna, Bulgaria",
  "journal": "Journal of Geometry and Symmetry in Physics 29 (2013) P.39-51",
  "doi": "10.7546/jgsp-29-2013-39-51",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "For an integrable Hamiltonian system we construct a representation of the phase space symmetry algebra over the space of functions on a Lagrangian manifold. The representation is a result of the canonical quantization of the integrable system in terms of separation variables. The variables are chosen in such way that a half of them parameterizes the Lagrangian manifold, which coincides with the Liouville torus of the integrable system. The obtained representation is indecomposable and non-exponentiated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-06T13:57:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E47",
      "22E70",
      "81R05"
    ],
    "keywords": [
      "integrable hamiltonian system",
      "lagrangian manifold",
      "harmonic analysis",
      "phase space symmetry algebra",
      "integrable system"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1785B"
    }
  }
}