Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measuring Scars of Periodic Orbits   The phenomenon of periodic orbit scarring of eigenstates of classically
chaotic systems is attracting increasing attention. Scarring is one of the most
important "corrections" to the ideal random eigenstates suggested by random
matrix theory. This paper discusses measures of scars and in so doing also
tries to clarify the concepts and effects of eigenfunction scarring. We propose
a new, universal scar measure which takes into account an entire periodic orbit
and the linearized dynamics in its vicinity. This measure is tuned to pick out
those structures which are induced in quantum eigenstates by unstable periodic
orbits and their manifolds. It gives enhanced scarring strength as measured by
eigenstate overlaps and inverse participation ratios, especially for longer
orbits. We also discuss off-resonance scars which appear naturally on either
side of an unstable periodic orbit.

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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
2
The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg