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

1998/07/09 by Suhan Ree, L. E. Reichl · 2 citations
Physics and Astronomy · #chao-dyn #nlin.CD

paper · pdf · doi:10.1103/physreve.60.1607

published as Phys. Rev. E, 60, pp. 1607-1615 (1999) · LaTeX2e, 8 pages including 3 Postscript figures and 4 GIF figures, submitted to Phys. Rev. E

arxiv created 1998/07/09 · arxiv updated 2012/04/27

Abstract

We study classical and quantum dynamics of a particle in a circular billiard with a straight cut. This system can be integrable, nonintegrable with soft chaos, or nonintegrable with hard chaos, as we vary the size of the cut. We use a quantum web to show differences in the quantum manifestations of classical chaos for these three different regimes.

Cited by

• Stochastically perturbed billiards: fingerprints of chaos and universality classes
• Experimental study of coupled quantum billiards with integrable and chaotic classical dynamics and test of a special Rosenzweig-Porter model