On the duality between periodic orbit statistics and quantum level statistics

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 $K_{sc}(\tau )$ to agree with predictions of random matrix theories for other than infinitesimal $\tau$ in the semiclassical limit.

8 pages LaTeX

References in corpus (2)

• Symmetry Decomposition of Chaotic Dynamics
• Periodic orbit asymptotics for intermittent Hamiltonian systems

Cited by in corpus (2)

• Quantal-Classical Duality and the Semiclassical Trace Formula
• From chaotic to disordered systems - a periodic orbit approach