Berry-Robnik level statistics in a smooth billiard system
Open Access
- 28 August 1998
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 31 (34) , 7023-7029
- https://doi.org/10.1088/0305-4470/31/34/005
Abstract
The Berry-Robnik level spacing distribution is demonstrated clearly in a generic quantized plane billiard for the first time. However, this ultimate semiclassical distribution is found to only be valid for extremely small semiclassical parameters (effective Planck's constant) where the assumption of statistical independence of regular and irregular levels is achieved. For sufficiently larger semiclassical parameters we find (fractional power-law) level repulsion with a phenomenological Brody distribution providing an adequate global fit.Keywords
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