Resonances for laterally coupled quantum waveguides

Authors
Frolov, SV Popov, IY
Citation
Sv. Frolov et Iy. Popov, Resonances for laterally coupled quantum waveguides, J MATH PHYS, 41(7), 2000, pp. 4391-4405
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
7
Year of publication
2000
Pages
4391 - 4405
Database
ISI
SICI code
0022-2488(200007)41:7<4391:RFLCQW>2.0.ZU;2-7
Abstract
A system of two waveguides coupled laterally through a small window is cons idered. The asymptotics (in the width of window) of resonance (quasibound s tate) close to the second threshold is obtained. The cases of two different and two identical waveguides are considered. The technique is matching the asymptotic expansions of the solutions. (C) 2000 American Institute of Phy sics. [S0022-2488(00)03804-4].