Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Mechanics associated with a Finite Group   I describe, in the simplified context of finite groups and their
representations, a mathematical model for a physical system that contains both
its quantum and classical aspects. The physically observable system is
associated with the space containing elements fxf for f an element in the
regular representation of a given finite group G. The Hermitian portion of fxf
is the Wigner distribution of f whose convolution with a test function leads to
a mathematical description of the quantum measurement process. Starting with
the Jacobi group that is formed from the semidirect product of the Heisenberg
group with its automorphism group SL(2,F{N}) for N an odd prime number I show
that the classical phase space is the first order term in a series of subspaces
of the Hermitian portion of fxf that are stable under SL(2,F{N}). I define a
derivative that is analogous to a pseudodifferential operator to enable a
treatment that parallels the continuum case. I give a new derivation of the
Schrodinger-Weil representation of the Jacobi group. Keywords: quantum
mechanics, finite group, metaplectic. PACS: 03.65.Fd; 02.10.De; 03.65.Ta.

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The categories of this paper are: nlin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con