Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistics of time delay and scattering correlation functions in chaotic
  systems I. Random Matrix Theory   We consider the statistics of time delay in a chaotic cavity having $M$ open
channels, in the absence of time-reversal invariance. In the random matrix
theory approach, we compute the average value of polynomial functions of the
time delay matrix $Q=-i\hbar S^\dag dS/dE$, where $S$ is the scattering matrix.
Our results do not assume $M$ to be large. In a companion paper, we develop a
semiclassical approximation to $S$-matrix correlation functions, from which the
statistics of $Q$ can also be derived. Together, these papers contribute to
establishing the conjectured equivalence between the random matrix and the
semiclassical approaches.

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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th