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Journal of Physics A: Mathematical and General Volume 35 Number 42 Create an alert RSS this journal

Martin Sieber 2002 J. Phys. A: Math. Gen. 35 L613 doi:10.1088/0305-4470/35/42/104

Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems

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Martin Sieber

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Abstract References Cited By

LETTER TO THE EDITOR

We consider the semiclassical approximation to the spectral form factor K(τ) for two-dimensional uniformly hyperbolic systems with time-reversal symmetry, and derive the first off-diagonal correction for small τ. The result agrees with the τ2-term of the form factor for the GOE random matrix ensemble.


PACS

03.65.Sq Semiclassical theories and applications

05.45.Mt Quantum chaos; semiclassical methods

MSC

37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)

81Q50 Quantum chaos (See also 37Dxx)

15A52 Random matrices

81Q20 Semiclassical techniques including WKB and Maslov methods

Subjects

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 42 (25 October 2002)

Received 2 August 2002

Published 8 October 2002



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