Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall
https://doi.org/10.17586/2220-8054-2020-11-6-619-627
Abstract
A nanostructure model,which is represented as a pair of coupled two-dimensional quantum waveguides with common semitransparent wall, is considered. That wall has small window which induces a resonance state localized near the window. Semitransparency is the reason for the asymptotics difference in comparison with the non-transparent case. Using the matching of asymptotic expansions method, we obtain formulas for resonances and resonance states.
Supporting agencies: The work was partially financially supported by Russian Science Foundation grant 16-11-10330.
About the Authors
A. M. Vorobiev
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
E. S. Trifanova
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
I. Y. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
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Vorobiev A.M., Trifanova E.S., Popov I.Y. Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall. Nanosystems: Physics, Chemistry, Mathematics. 2020;11(6):619–627. https://doi.org/10.17586/2220-8054-2020-11-6-619-627
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