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

Martin Sieber
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Abstract

We consider the semiclassical approximation to the spectral form factor K(tau) for two-dimensional uniformly hyperbolic systems, and derive the first off-diagonal correction for small tau. The result agrees with the tau^2-term of the form factor for the GOE random matrix ensemble.

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Martin Sieber. 2002-09-06. Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems. https://doi.org/10.1088/0305-4470%2F35%2F42%2F104

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