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Spectral Statistics: From Disordered to Chaotic Systems

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arxiv cond-mat/9509102 v1 pith:BAYUBM2D submitted 1995-09-17 cond-mat chao-dynnlin.CD

Spectral Statistics: From Disordered to Chaotic Systems

Oded Agam , Boris L. Altshuler , Anton V. Andreev This is my paper
classification cond-mat chao-dynnlin.CD
keywords systemschaoticdisorderedgeneralfactorobtainedoperatorstructure
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The relation between disordered and chaotic systems is investigated. It is obtained by identifying the diffusion operator of the disordered systems with the Perron-Frobenius operator in the general case. This association enables us to extend results obtained in the diffusive regime to general chaotic systems. In particular, the two--point level density correlator and the structure factor for general chaotic systems are calculated and characterized. The behavior of the structure factor around the Heisenberg time is quantitatively described in terms of short periodic orbits.

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