多通道系统的量子设计（逆问题方法）
Toward the Quantum Design of Multichannel Systems (The Inverse Problem Approach)
摘要：
介绍了光谱、散射和衰减控制理论的多通道推广。提出了构造具有给定性质的复量子系统的新的通用算法。特别是，相互作用矩阵的转换，导致在选定的部分通道和空间定位的波的浓度。限制说明不同的现象发生的“不兼容”的属性的组合的情况下，被认为是有指导意义的。例如，在相同的能量下，对于相同的相互作用，具有不同的共振宽度的散射解被揭示。类似地，解释了强反射和绝对透明的“矛盾”共存。证明了部分波函数违反“自然”渐近行为的情况：对于阈值较低的信道，它具有较大的阻尼衰减。描述了多通道周期结构、束缚态嵌入连续介质、共振隧穿和态简并的特性。
英文摘要：
The multichannel generalization of the theory of spectral, scattering and decay control is presented. New universal algorithms of construction of complex quantum systems with given properties are suggested. Particularly, transformations of interaction matrices leading to the concentration of waves in a chosen partial channel and spatial localization are shown. The limiting instructive cases illustrating different phenomena which occur with the combination of 'incompatible' properties are considered. For example, the scattering solutions with different resonance widths at the same energy for the same interaction are revealed. Analogously, a 'paradoxical' coexistence of both strong reflection and absolute transparency is explained. The case of the violation of 'natural' asymptotic behavior of partial wave function is demonstrated : it has a greater damping decrement for the channel with a lower threshold. Peculiarities of the multichannel periodic structures, bound states embedded into continuum, resonance tunneling and degeneracy of states are described.
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。
