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Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Oct;82(4 Pt 2):046201. Epub 2010 Oct 1.

Fractal Weyl law for three-dimensional chaotic hard-sphere scattering systems.

Author information

1
Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart, Germany.

Abstract

The fractal Weyl law connects the asymptotic level number with the fractal dimension of the chaotic repeller. We provide the first test for the fractal Weyl law for a three-dimensional open scattering system. For the four-sphere billiard, we investigate the chaotic repeller and discuss the semiclassical quantization of the system by the method of cycle expansion with symmetry decomposition. We test the fractal Weyl law for various symmetry subspaces and sphere-to-sphere separations.

PMID:
21230359
DOI:
10.1103/PhysRevE.82.046201

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