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.
S-matrix poles close to thresholds in confined geometries
CATTAPAN, GIORGIO;
2007
Abstract
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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