{
  "annotation_id": "d67cdddf-1588-4fa2-989b-9d4b5c67f744",
  "date_created": "2026-03-02T18:01:41.570000Z",
  "date_modified": "2026-03-02T18:01:41.570000Z",
  "file_hash": "697ee4533a148e6264db6e0479ae72cfd97b964764bba1128dcab73abfdfd42e",
  "private": false,
  "record": {
    "abstract": "Ambiguities arising in different approaches (canonical, quasiclassical, path\nintegration) to quantization are discussed by an example of the mechanics of a\npoint-like particle in the Riemannian space (the geodesic dynamics). A way to\nselect a single rule of quantization is proposed by requirement of a\nconsistency of the quantum mechanics\u0027 following from the canonical and\nquasiclassical approaches. This rule selects also a definition of the path\nintegration. A geometric interpretation of the noncovariance of the canonical\nHamilton operator of a particle with respect to the diffeomorphisms of the\nRiemannian configuration space is proposed.",
    "arxiv_id": "quant-ph/0101016",
    "authors": [
      "E. A. Tagirov"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "title": "On Ordering of Operators in Canonical Quantization in Curved Space",
    "url": "https://arxiv.org/abs/quant-ph/0101016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4031db7a-ed02-42d6-92b5-b34a08bfcbf7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}