Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamilton-Jacobi treatment of a non-relativistic particle on a curved
  space   In this paper a non-relativistic particle moving on a hypersurface in a
curved space and the multidimensional rotator are investigated using the
Hamilton-Jacobi formalism. The equivalence with the Dirac Hamiltonian formalism
is demonstrated in both Cartesian and curvilinear coordinates. The energy
spectrum of the multidimensional rotator is equal to that of a pure
Laplace-Beltrami operator with no additional constant arising from the
curvature of the sphere.

5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
2
The categories of this paper are: math