Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization of a Free Particle Interacting Linearly with a Harmonic
  Oscillator   We investigate the quantization of a free particle coupled linearly to a
harmonic oscillator. This system, whose classical counterpart has clearly
separated regular and chaotic regions, provides an ideal framework for studying
the quantization of mixed systems. We identify key signatures of the
classically chaotic and regular portions in the quantum system by constructing
Husimi distributions and investigating avoided level crossings of eigenvalues
as functions of the strength and range of the interaction between the system's
two components. We show, in particular, that the Husimi structure becomes mixed
and delocalized as the classical dynamics becomes more chaotic.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn