Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical Theory of Short Periodic Orbits in Quantum Chaos   We have developed a semiclassical theory of short periodic orbits to obtain
all quantum information of a bounded chaotic Hamiltonian system. If T_1 is the
period of the shortest periodic orbit, T_2 the period of the next one and so
on, the number N_p.o. of periodic orbits required in the calculation is such
that T_1+...+T_N_{p.o} is approximately T_H, with T_H the Heisenberg time. As a
result N_p.o \simeq h T_{H}/\ln (h T_{H}), where h is the topological entropy.
For methods related to the trace formula N_{p.o} \simeq \exp(h T_{H})/ (h
T_{H}).

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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
2
The categories of this paper are: math
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex