caa a22 4500 605523886 CHVBK 20210128105158.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10958-015-2580-5 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2580-5 Borisov D. Institute of Mathematics, USC RAS, 112, Chernyshevskii St, 450008, Ufa, Russia aut Perturbation of Threshold of Essential Spectrum for Waveguides with Windows. II: Asymptotics [Elektronische Daten] [D. Borisov] We consider a quantum waveguide described by a pair of three-dimensional plane-parallel layers with common boundary containing a window joining the layers. As the window expands, the threshold of the essential spectrum generates bound states, anti-bound states, or resonances. We propose an original efficient algorithm for constructing complete asymptotic expansions for the associated spectral parameters and nontrivial solutions. Using a nontrivial technique, we justify the constructed asymptotic expansions and analyze their structure. Bibliography: 36 titles. Illustrations: 1 figure. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/5(2015-11-01), 590-621 1072-3374 210:5<590 2015 210 10958 https://doi.org/10.1007/s10958-015-2580-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2580-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Borisov D. Institute of Mathematics, USC RAS, 112, Chernyshevskii St, 450008, Ufa, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/5(2015-11-01), 590-621 1072-3374 210:5<590 2015 210 10958 SWISSBIB 605522332