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arXiv 2002-09-06 DOI 10.1088/0305-4470/35/42/104 0 views

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

Sieber, Martin

Original · EN

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 tau²-term of the form factor for the GOE random matrix ensemble.

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