Perturbation of Threshold of Essential Spectrum for Waveguides with Windows. II: Asymptotics
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2580-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2580-5 | ||
| 100 | 1 | |a Borisov |D D. |u Institute of Mathematics, USC RAS, 112, Chernyshevskii St, 450008, Ufa, Russia |4 aut | |
| 245 | 1 | 0 | |a Perturbation of Threshold of Essential Spectrum for Waveguides with Windows. II: Asymptotics |h [Elektronische Daten] |c [D. Borisov] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/5(2015-11-01), 590-621 |x 1072-3374 |q 210:5<590 |1 2015 |2 210 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2580-5 |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2580-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Borisov |D D. |u Institute of Mathematics, USC RAS, 112, Chernyshevskii St, 450008, Ufa, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/5(2015-11-01), 590-621 |x 1072-3374 |q 210:5<590 |1 2015 |2 210 |o 10958 | ||
| 986 | |a SWISSBIB |b 605522332 | ||