Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics for the Phase Space Schr\"{o}dinger Equation   We consider semi-classical time evolution for the phase space Schr\"{o}dinger
equation. We construct a semi-classical phase space propagator in terms of
semi-classical wave packets by the Anisotropic Gaussian Approximation, related
to the Nearby Orbit Approximation. We deduce the canonical system in double
phase space, related to the Berezin-Shubin-Marinov canonical system and
construct a semi-classical asymptotic solution of the Cauchy problem for the
phase space Schr\"{o}dinger equation for initial WKB states. We illustrate the
method for sub-quadratic potentials in $\mathbb{R}$.

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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: solv-int