论文标题
混沌量子散射中时间延迟统计的半经典计算
Semiclassical calculation of time delay statistics in chaotic quantum scattering
论文作者
论文摘要
我们提出了一个半经典计算，该计算基于通过矩阵积分实现的经典动作相关性，即Wigner-Smith时间延迟矩阵（$ Q $）的所有矩在通过具有混乱动力学的系统的量子散射的背景下。我们的结果对于破裂的时间逆转对称性是有效的，仅取决于经典的停留时间和开放渠道的数量，即$ m $，这是任意的。与相应的随机矩阵理论一致，将涉及某些组合概念的身份降低，在特殊情况下可以证明。
We present a semiclassical calculation, based on classical action correlations implemented by means of a matrix integral, of all moments of the Wigner--Smith time delay matrix, $Q$, in the context of quantum scattering through systems with chaotic dynamics. Our results are valid for broken time reversal symmetry and depend only on the classical dwell time and the number of open channels, $M$, which is arbitrary. Agreement with corresponding random matrix theory reduces to an identity involving some combinatorial concepts, which can be proved in special cases.
