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Nanosystems: Physics, Chemistry, Mathematics, 2019, Volume 10, Issue 4, Pages 415–419
DOI: https://doi.org/10.17586/2220-8054-2019-10-4-415-419
(Mi nano454)
 

This article is cited in 5 scientific papers (total in 5 papers)

PHYSICS

On formal asymptotic expansion of resonance for quantum waveguide with perforated semitransparent barrier

A. M. Vorobiev, A. S. Bagmutov, A. I. Popov

ITMO University, Kronverkskiy, 49, Staint Petersburg, 197101, Russia
Full-text PDF (172 kB) Citations (5)
Abstract: A quantum waveguide with a semitransparent barrier, placed across it, is considered. It is assumed that the barrier has a small window. This local perturbation of the waveguide causes the appearance of resonance states localized near the barrier with the window. The asymptotics (in small parameter — the window width) of the resonances (quasi-bound states) is obtained. The procedure of construction of full formal asymptotic expansion is described. The first two terms of the asymptotic expansion are obtained explicitly. These terms describe the shift of the resonance from the threshold and the life time of the corresponding resonance state.
Keywords: quantum waveguide, resonance, asymptotics, scattering.
Funding agency Grant number
Russian Science Foundation 16-11-10330
Ministry of Education and Science of the Russian Federation 08-08
This work was partially financially supported by the Government of the Russian Federation (grant 08-08), by grant 16-11-10330 of Russian Science Foundation.
Received: 15.01.2019
Revised: 17.06.2019
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. M. Vorobiev, A. S. Bagmutov, A. I. Popov, “On formal asymptotic expansion of resonance for quantum waveguide with perforated semitransparent barrier”, Nanosystems: Physics, Chemistry, Mathematics, 10:4 (2019), 415–419
Citation in format AMSBIB
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\by A.~M.~Vorobiev, A.~S.~Bagmutov, A.~I.~Popov
\paper On formal asymptotic expansion of resonance for quantum waveguide with perforated semitransparent barrier
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2019
\vol 10
\issue 4
\pages 415--419
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\crossref{https://doi.org/10.17586/2220-8054-2019-10-4-415-419}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Nanosystems: Physics, Chemistry, Mathematics
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