Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Ordering of Operators in Canonical Quantization in Curved Space   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.

19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ