标题： 随机带状矩阵方法研究混沌散射：平均$S$-矩阵及其极点分布 显示英文标题

标题： Random band matrix approach to chaotic scattering: the average $S$-matrix and its pole distribution

摘要： 引入并研究了与开放混沌系统相关的随机带状矩阵。 基于此类矩阵的散射模型可用于描述预平衡混沌散射。 在开放通道数量较多的极限情况下，我们计算了平均$S$-矩阵 和$S$-矩阵 的极点分布，发现经过能量尺度和连续耦合强度的适当重新标度后，它们会退化为完整矩阵（GOE）情况下的结果。 显示英文摘要

摘要： Random band matrices relevant for open chaotic systems are introduced and studied. The scattering model based on such matrices may serve for the description of preequilibrium chaotic scattering. In the limit of a large number of open channels we calculate the average $S$-matrix and $S$-matrix's pole distribution which are found to reduce to those of the full matrix (GOE) case under proper renormalization of the energy scale and strength of coupling to the continuum.