Evidence for the Validity of the Berry-Robnik Surmise in a Periodically Pulsed Spin System

Details Evidence for the Validity of the Berry-Robnik Surmise in a Periodically Pulsed Spin System Evidence for the Validity of the Berry-Robnik Surmise in a Periodically Pulsed Spin System

1995-03-09

arxiv.org/abs/chao-dyn/9503002v2

Nonlinear Sciences

Chaotic Dynamics

15 pages, 9 figures available upon request, Latex file

Scientific paper

10.1088/0305-4470/28/17/014

We study the statistical properties of the spectrum of a quantum dynamical system whose classical counterpart has a mixed phase space structure consisting of two regular regions separated by a chaotical one. We make use of a simple symmetry of the system to separate the eigenstates of the time-evolution operator into two classes in agreement with the Percival classification scheme \cite{Per}. We then use a method firstly developed by Bohigas et. al. \cite{BoUlTo} to evaluate the fractional measure of states belonging to the regular class, and finally present the level spacings statistics for each class which confirm the validity of the Berry-Robnik surmise in our model.

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