Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems

Turek, Marko and Richter, Klaus (2003) Leading off-diagonal contribution to the spectral form factor of chaotic quantum systems. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 36 (30). L455-L462. ISSN 0305-4470

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Abstract

We semiclassically derive the leading off-diagonal correction to the spectral form factor of quantum systems with a chaotic classical counterpart. To this end we present a phase space generalization of a recent approach for uniformly hyperbolic systems (Sieber M and Richter K 2001 Phys. Scr. T 90 128, Sieber M 2002 J. Phys. A: Math. Gen. 35 L613). Our results coincide with corresponding random matrix predictions. Furthermore we study the transition from the Gaussian orthogonal to the Gaussian unitary ensemble.

Item Type: Article
Uncontrolled Keywords: PERIODIC-ORBITS; MASLOV INDEXES; TIME-REVERSAL; TRACE FORMULA; STATISTICS; APPROXIMATION;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 05 Aug 2021 05:09
Last Modified: 05 Aug 2021 05:09
URI: https://pred.uni-regensburg.de/id/eprint/38779

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