On the duality between periodic orbit statistics and quantum level statistics

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, , Citation P Dahlqvist 1995 J. Phys. A: Math. Gen. 28 4733 DOI 10.1088/0305-4470/28/17/009

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1 Dept. of Mech., R. Inst. of Technol., Stockholm, Sweden

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0305-4470/28/17/4733

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( tau ) to agree with predictions of random matrix theories for other than infinitesimal tau in the semiclassical limit.

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