Perturbation of Threshold of Essential Spectrum for Waveguides with Windows. I: Decreasing Resonance Solutions
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2238-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2238-3 | ||
| 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. I: Decreasing Resonance Solutions |h [Elektronische Daten] |c [D. Borisov] |
| 520 | 3 | |a We consider a quantum waveguide described by a pair of plane-parallel layers having common boundary and coupled by a window. We show that small perturbations of a critical window shape lead to bound, anti-bound, and resonance states emerging from the threshold of the essential spectrum. We describe the asymptotic behavior of these states and show that every decreasing resonance function generates either a pair of bound and anti-bound states or a pair of resonance states, whereas a logarithmically increasing resonance function generates no such states. Bibliography: 30 titles. | |
| 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 205/2(2015-02-01), 141-181 |x 1072-3374 |q 205:2<141 |1 2015 |2 205 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2238-3 |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/s10958-015-2238-3 |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 205/2(2015-02-01), 141-181 |x 1072-3374 |q 205:2<141 |1 2015 |2 205 |o 10958 | ||
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