Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path integral action and Chern-Simons quantum mechanics in
  noncommutative plane   In this paper, the connection between the path integral representation of
propagators in the coherent state basis with additional degrees of freedom
\cite{rohwer} and the one without any such degrees of freedom \cite{sgfgs} is
established. We further demonstrate that the path integral formalism developed
in the noncommutative plane using the coherent state basis leads to a quantum
mechanics involving a Chern-Simons term in momentum which is of noncommutative
origin. The origin of this term from the Bopp-shift point of view is also
investigated. A relativistic generalization of the action derived from the path
integral framework is then proposed. Finally, we construct a map from the
commutative quantum Hall system to a particle in a noncommutative plane moving
in a magnetic field. The value of the noncommutative parameter from this map is
then computed and is found to agree with previous results.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin