Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonances and adiabatic invariance in classical and quantum scattering
  theory   We discover that the energy-integral of time-delay is an adiabatic invariant
in quantum scattering theory and corresponds classically to the phase space
volume. The integral thus found provides a quantization condition for
resonances, explaining a series of results recently found in non-relativistic
and relativistic regimes. Further, a connection between statistical quantities
like quantal resonance-width and classical friction has been established with a
classically deterministic quantity, the stability exponent of an adiabatically
perturbed periodic orbit. This relation can be employed to estimate the rate of
energy dissipation in finite quantum systems.

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The categories of this paper are: physics
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The categories of this paper are: eess
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: cs