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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
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.
Received: 15.01.2019 Revised: 17.06.2019
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
Linking options:
https://www.mathnet.ru/eng/nano454 https://www.mathnet.ru/eng/nano/v10/i4/p415
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