Berry-Robnik level statistics in a smooth billiard system
Condensed Matter
2009-10-31 v1 chao-dyn
Chaotic Dynamics
Abstract
Berry-Robnik level spacing distribution is demonstrated clearly in a generic quantized plane billiard for the first time. However, this ultimate semi-classical distribution is found to be valid only for extremely small semi-classical parameter (effective Planck's constant) where the assumption of statistical independence of regular and irregular levels is achieved. For sufficiently larger semiclassical parameter we find (fractional power-law) level repulsion with phenomenological Brody distribution providing an adequate global fit.
Cite
@article{arxiv.cond-mat/9803341,
title = {Berry-Robnik level statistics in a smooth billiard system},
author = {Tomaz Prosen},
journal= {arXiv preprint arXiv:cond-mat/9803341},
year = {2009}
}
Comments
10 pages in LaTeX with 4 eps figures included