标题： 伪可积映射的谱统计学：一般情况 显示英文标题

标题： Spectral statistics of a pseudo-integrable map: the general case

摘要： 数值上已经确定，伪可积模型的谱统计特性与可积和混沌系统的参考统计特性有显著不同。 在[PRL,93 (2004) 254102]中，某种量子化伪可积映射的统计特性已经被解析计算，但仅限于特定的矩阵维度序列。 本文的目的是获得同一量子映射在所有矩阵维度下的谱统计特性。 显示英文摘要

摘要： It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In [PRL,93 (2004) 254102] statistical properties of a certain quantized pseudo-integrable map had been calculated analytically but only for a special sequence of matrix dimensions. The purpose of this paper is to obtain the spectral statistics of the same quantum map for all matrix dimensions.