Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Matrix approach to the crossover from Wigner to Poisson
  statistics of energy levels   We analyze a class of parametrized Random Matrix models, introduced by
Rosenzweig and Porter, which is expected to describe the energy level
statistics of quantum systems whose classical dynamics varies from regular to
chaotic as a function of a parameter. We compute the generating function for
the correlations of energy levels, in the limit of infinite matrix size. Our
computations show that for a certain range of values of the parameter, the
energy-level statistics is given by that of the Wigner-Dyson ensemble. For
another range of parameter values, one obtains the Poisson statistics of
uncorrelated energy levels. However, between these two ranges, new statistics
emerge, which is neither Poissonnian nor Wigner. The crossover is measured by a
renormalized coupling constant. The model is exactly solved in the sense that,
in the limit of infinite matrix size, the energy-level correlation functions
and their generating function are given in terms of a finite set of integrals.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga