|
This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall
A. M. Vorobiev, E. S. Trifanova, I. Y. Popov ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia
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.
Keywords:
resonance, resonance state, waveguide, asymptotics.
Received: 29.11.2020
Citation:
A. M. Vorobiev, E. S. Trifanova, I. Y. Popov, “Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall”, Nanosystems: Physics, Chemistry, Mathematics, 11:6 (2020), 619–627
Linking options:
https://www.mathnet.ru/eng/nano566 https://www.mathnet.ru/eng/nano/v11/i6/p619
|
Statistics & downloads: |
Abstract page: | 74 | Full-text PDF : | 26 |
|