Numerical study of scars in a chaotic billiard
chao-dyn
2009-10-30 v1 Condensed Matter
Chaotic Dynamics
Abstract
We study numerically the scaling properties of scars in stadium billiard. Using the semiclassical criterion, we have searched systematically the scars of the same type through a very wide range, from ground state to as high as the 1 millionth state. We have analyzed the integrated probability density along the periodic orbit. The numerical results confirm that the average intensity of certain types of scars is independent of rather than scales with . Our findings confirm the theoretical predictions of Robnik (1989).
Keywords
Cite
@article{arxiv.chao-dyn/9705007,
title = {Numerical study of scars in a chaotic billiard},
author = {Baowen Li},
journal= {arXiv preprint arXiv:chao-dyn/9705007},
year = {2009}
}
Comments
7 pages in Revtex 3.1, 5 PS figures available upon request. To appear in Phys. Rev. E, Vol. 55, No. 5, 1997