Berry-Robnik level statistics in a smooth billiard system
نویسنده
چکیده
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 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. PACS numbers: 05.45.+b, 03.65.Ge, 03.65.Sq Submitted to Journal of Physics A: Math. Gen. e-mail [email protected]
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تاریخ انتشار 2008