Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generally covariant quantum mechanics on noncommutative configuration
  spaces   We generalize the previously given algebraic version of "Feynman's proof of
Maxwell's equations" to noncommutative configuration spaces. By doing so, we
also obtain an axiomatic formulation of nonrelativistic quantum mechanics over
such spaces, which, in contrast to most examples discussed in the literature,
does not rely on a distinguished set of coordinates. We give a detailed account
of several examples, e.g., of nonabelian Yang-Mills theories, and of
noncommutative tori. Moreover we, examine models over the Moyal-deformed plane.
Assuming the conservation of electrical charges, we show that in this case the
canonical uncertainty relation [x_k, \dot{x}_l] = ig_{kl} with metric g_{kl} is
only consistent if g_{kl} is constant.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con