Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Variational Formulation of Symplectic Noncommutative Mechanics   The standard lore in noncommutative physics is the use of first order
variational description of a dynamical system to probe the space
noncommutativity and its consequences in the dynamics in phase space. As the
ultimate goal is to understand the inherent space noncommutativity we propose a
variational principle for noncommutative dynamical systems in configuration
space, based on results of our previous work [14]. We hope that this
variational formulation in configuration space can be of help to elucidate the
definition of some global and dynamical properties of classical and quantum
noncommutative space.

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The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin