Deviations from Berry--Robnik Distribution Caused by Spectral Accumulation

Abstract

By extending the Berry--Robnik approach for the nearly integrable quantum systems,[1] we propose one possible scenario of the energy level spacing distribution that deviates from the Berry--Robnik distribution. The result described in this paper implies that deviations from the Berry--Robnik distribution would arise when energy level components show strong accumulation, and otherwise, the level spacing distribution agrees with the Berry--Robnik distribution.

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