Spectral statistics: From disordered to chaotic systems

Oded Agam*, Boris L. Altshuler, Anton V. Andreev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

100 Scopus citations

Abstract

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.

Original languageAmerican English
Pages (from-to)4389-4392
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number24
DOIs
StatePublished - 1995
Externally publishedYes

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