Fractal Weyl law for three-dimensional chaotic hard-sphere scattering systems
Chaotic Dynamics
2010-10-26 v1 Optics
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.
Keywords
Cite
@article{arxiv.1008.0718,
title = {Fractal Weyl law for three-dimensional chaotic hard-sphere scattering systems},
author = {Alexander Eberspächer and Jörg Main and Günter Wunner},
journal= {arXiv preprint arXiv:1008.0718},
year = {2010}
}
Comments
12 pages, 8 figures, submitted to Phys. Rev. E