发表机构
Fakultät für Physik, Universität Duisburg–Essen（杜伊斯堡-埃森大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用超对称方法推导了辛对称情形下散射矩阵元实部、虚部及截面的分布，完成了戴森三重方式的推导，适用于半整数自旋系统。
AI 中文摘要
散射理论是获取大多数量子系统信息的核心。一般而言，解析进展困难，利用统计方法研究普适特征是有意义的。通常，这通过海德堡方法进行，该方法用随机矩阵对目标的哈密顿量建模。迄今为止，此类研究是针对有效无自旋或具有总角动量守恒的系统进行的。鉴于最近的实验进展，研究具有半整数自旋的系统也变得相关。利用超对称方法，我们推导了辛对称情形下散射矩阵元的实部和虚部以及相应截面的分布。这些结果完成了戴森三重方式的推导。
英文摘要
Scattering theory is at the core of gaining information about most quantum systems. In general, analytic progress is difficult and the investigation of universal features using statistical methods is of interest. Commonly this is carried out within the Heidelberg approach which models the Hamiltonian of the target by a random matrix. Hitherto, such investigations were performed for systems that are effectively spinless or have total angular momentum conservation. In light of recent experimental progress it has become relevant to also investigate systems with half-integer spin. Using supersymmetry, we derive the distribution for the real and imaginary parts of the scattering matrix elements and the corresponding cross sections in the case of symplectic symmetry. These results complete the derivations for Dysons threefold way.
