Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric Classical Mechanics   We investigate the possibility that the semiclassical limit of quantum
mechanics might be correctly described by a classical dynamical theory, other
than standard classical mechanics. Using a set of classicality criteria
proposed in a related paper, we show that the time evolution of a set of
quantum initial data satisfying these criteria is fully consistent with the
predictions of a new theory of classical dynamics. The dynamical structure of
the new theory is given by the Moyal bracket. This is a Lie bracket that was
first derived as the dynamical structure of the Moyal-Weyl-Wigner formulation
of quantum mechanics. We present a new derivation of the Moyal bracket, this
time in the context of the semiclassical limit of quantum mechanics and thus
prove that both classical and quantum dynamics can be formulated in terms of
the same canonical structure.

32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
19
The categories of this paper are: eess
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc