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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/1773172
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