有限几何中接近于奇点的S-矩阵极点
S-Matrix Poles Close to Thresholds in Confined Geometries
摘要:
本文研究了与含缺陷腔耦合的量子波导的S矩阵极点在阈值附近的行为。我们强调发生的主导和阴影极点的能量黎曼表面上的各种表,并表明,阈值附近的总电导率的变化作为腔的宽度的变化可以解释在主导的阴影极点过渡。
英文摘要:
We have studied the behavior of the S-matrix poles near threshold for quantum waveguides coupled to a cavity with a defect. We emphasize the occurrence of both dominant and shadow poles on the various sheets of the energy Riemann surface, and show that the changes of the total conductivity near threshold as the cavity's width changes can be explained in terms of dominant to shadow pole transitions.
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