Abstract
Two-dimensional quantum waveguides with common semitransparent wallare considered. It is assumed that there is a small window in the separat-ing wall. It leads to the appearance of an eigenvalue below the continuousspectrum. Semitransparent wall is introduced as a potential supported bya hypersurface. We use the method of asymptotic expansions of boundaryproblems solutions. It allows us to obtain the main term of the asymptoticsexplicitly
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Schedule a callMore From: Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science
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