复合传递矩阵：相长干涉和相消干涉
Compound transfer matrices: Constructive and destructive interference
摘要：
复合障碍物的散射，由许多不同的不重叠的子障碍物组成，具有许多有趣而微妙的数学特征。如果是散射经典粒子，其中粒子的波方面可以忽略不计，复合势垒的透射概率简单地由单个子势垒的透射概率的乘积给出。相比之下，如果是散射波（无论我们处理的是纯粹的经典波还是量子薛定谔波函数），每个子势垒都会贡献相位信息（以及传输概率），并且这些相位可能导致相长干涉或相消干涉，传输概率在非平凡的上限和下限之间振荡。在这篇文章中，我们将研究这些上限和下限的一些细节，并推导出通过参数共振量子激发（粒子生产）的密切相关的过程的界限。
英文摘要：
Scattering from a compound barrier, one composed of a number of distinct non-overlapping sub-barriers, has a number of interesting and subtle mathematical features. If one is scattering classical particles, where the wave aspects of the particle can be ignored, the transmission probability of the compound barrier is simply given by the product of the transmission probabilities of the individual sub-barriers. In contrast if one is scattering waves (whether we are dealing with either purely classical waves or quantum Schrodinger wavefunctions) each sub-barrier contributes phase information (as well as a transmission probability), and these phases can lead to either constructive or destructive interference, with the transmission probability oscillating between nontrivial upper and lower bounds. In this article we shall study these upper and lower bounds in some detail, and also derive bounds on the closely related process of quantum excitation (particle production) via parametric resonance.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
