{
  "id": "quant-ph/0101016",
  "version": "v1",
  "published": "2001-01-03T19:52:11.000Z",
  "updated": "2001-01-03T19:52:11.000Z",
  "title": "On Ordering of Operators in Canonical Quantization in Curved Space",
  "authors": [
    "E. A. Tagirov"
  ],
  "comment": "11 pages, LaTex 2.09-file; a talk at the 23th Symposium on Group-Theoretical Methods in Physics, Dubna, July 2000",
  "categories": [
    "quant-ph",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Ambiguities arising in different approaches (canonical, quasiclassical, path integration) to quantization are discussed by an example of the mechanics of a point-like particle in the Riemannian space (the geodesic dynamics). A way to select a single rule of quantization is proposed by requirement of a consistency of the quantum mechanics' following from the canonical and quasiclassical approaches. This rule selects also a definition of the path integration. A geometric interpretation of the noncovariance of the canonical Hamilton operator of a particle with respect to the diffeomorphisms of the Riemannian configuration space is proposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-01-03T19:52:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "canonical quantization",
      "curved space",
      "path integration",
      "riemannian configuration space",
      "single rule"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 551957,
      "adsabs": "2001quant.ph..1016T"
    }
  }
}