Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Space Non-commutativity and its Stability   We consider a generalised non-commutative space-time in which
non-commutativity is extended to all phase space variables. If strong enough,
non-commutativity can affect stability of the system. We perform stability
analysis on a couple of simple examples and show that a system can be
stabilised by introducing quartic interactions provided they satisfy
phase-space copositivity. In order to conduct perturbative analysis of these
systems one can use either canonical methods or phase-space path integral
methods which we present in some detail.

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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math
3
The categories of this paper are: physics
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The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas