科研之友
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摘要
We introduce a primitive 2 x 2 random matrix model with one parameter, 1 <= d <= 2. It is shown that an ensemble of such matrices has eigenvalue spacings that transition from near-Poisson statistics, when d = 2, to GOE statistics for 2 x 2 matrices, when d = 1. This transition can be very closely modelled by the Brody distribution, where the Brody parameter is q = (2 - d)/d. Exact integral forms for the complete transition are given.
- 出版日期2017-4
