Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum phase-space representation for curved configuration spaces   We extend the Wigner-Weyl-Moyal phase-space formulation of quantum mechanics
to general curved configuration spaces. The underlying phase space is based on
the chosen coordinates of the manifold and their canonically conjugate momenta.
The resulting Wigner function displays the axioms of a quasiprobability
distribution, and any Weyl-ordered operator gets associated with the
corresponding phase-space function, even in the absence of continuous
symmetries. The corresponding quantum Liouville equation reduces to the
classical curved space Liouville equation in the semiclassical limit. We
demonstrate the formalism for a point particle moving on two-dimensional
manifolds, such as a paraboloid or the surface of a sphere. The latter
clarifies the treatment of compact coordinate spaces as well as the relation of
the presented phase-space representation to symmetry groups of the
configuration space.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin