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Phys. Rev. Lett. 75, 4389–4392 (1995)

Spectral Statistics: From Disordered to Chaotic Systems

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Oded Agam
Department of Physics, Technion, Haifa 32000, Israel

Boris L. Altshuler and Anton V. Andreev
NECI, 4 Independence Way, Princeton, New Jersey 08540 and Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139

Received 26 June 1995; published in the issue dated 11 December 1995

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.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.4389
DOI:
10.1103/PhysRevLett.75.4389
PACS:
05.45.+b, 03.65.Sq, 05.60.+w