On the duality between periodic orbit statistics and quantum level statistics
Per Dahlqvist
Abstract
We discuss consequences of a recent observation that the sequence of periodic orbits in a chaotic billiard behaves like a poissonian stochastic process on small scales. This enables the semiclassical form factor Ksc(τ) to agree with predictions of random matrix theories for other than infinitesimal τ in the semiclassical limit.
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