{
  "id": "math-ph/0201044",
  "version": "v2",
  "published": "2002-01-19T06:00:28.000Z",
  "updated": "2002-03-12T00:29:02.000Z",
  "title": "On Weyl Quantization from geometric Quantization",
  "authors": [
    "P. de M. Rios",
    "G. M. Tuynman"
  ],
  "comment": "11 pages. (v2: corrected a couple of typos)",
  "journal": "A.I.P. Conf. Proc. 1079 (2008) 26-38 [revised version]",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SG"
  ],
  "abstract": "A. Weinstein has conjectured a nice looking formula for a deformed product of functions on a hermitian symmetric space of non-compact type. We derive such a formula for symmetric symplectic spaces using ideas from geometric quantization and prequantization of symplectic groupoids. We compute the result explicitly for the natural 2-dimensional symplectic manifolds: the euclidean plane, the sphere and the hyperbolic plane. For the euclidean plane we obtain the well known Moyal-Weyl product. The other cases show that Weinstein's original idea should be interpreted with care. We conclude with comments on the status of our result.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-03-12T00:29:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Wj",
      "02.60.-x",
      "02.30.Ik"
    ],
    "keywords": [
      "geometric quantization",
      "weyl quantization",
      "euclidean plane",
      "symmetric symplectic spaces",
      "weinsteins original idea"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 581973,
      "adsabs": "2008AIPC.1079...26R"
    }
  }
}