1999•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsOpen access

Classical and quantum chaos in a circular billiard with a straight cut

Suhan Ree, L. E. Reichl

Abstract

We study classical and quantum dynamics of a particle in a circular billiard with a straight cut. Classically, this system can be integrable, nonintegrable with soft chaos, or nonintegrable with hard chaos as we vary the size of the cut. We plot Poincaré surfaces of section to study chaos. Quantum mechanically, we look at Husimi plots, and also use the quantum web, the technique primarily used in spin systems so far, to try to see differences in quantum manifestations of soft and hard chaos.

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Key concepts: Dynamical billiards, Quantum chaos, Quantum, Integrable system, CHAOS (operating system), Classical mechanics, Physics, Spin (aerodynamics)