Study of Spectral Statistics of Classically Integrable Systems
نویسنده
چکیده
In this work we present the results of a study of spectral statistics for a classically integrable system, namely the rectangle billiard. We show that the spectral statistics are indeed Poissonian in the semiclassical limit for almost all such systems, the exceptions being the atypical rectangles with rational squared ratio of its sides, and of course the energy ranges larger than Lmax = h̄/T0, where T0 is the period of the shortest periodic orbit of the system, however Lmax → ∞ when E → ∞.
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تاریخ انتشار 2000