Perturbation of Threshold of Essential Spectrum for Waveguides with Windows. II: Asymptotics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F15%3A50003949" target="_blank" >RIV/62690094:18470/15:50003949 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10958-015-2580-5" target="_blank" >http://dx.doi.org/10.1007/s10958-015-2580-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10958-015-2580-5" target="_blank" >10.1007/s10958-015-2580-5</a>

Result language

angličtina

Original language name

Perturbation of Threshold of Essential Spectrum for Waveguides with Windows. II: Asymptotics

Original language description

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-boundstates, 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of mathematical sciences

ISSN

1072-3374

e-ISSN

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Volume of the periodical

210

Issue of the periodical within the volume

5

Country of publishing house

DE - GERMANY

Number of pages

32

Pages from-to

590-621

UT code for WoS article

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EID of the result in the Scopus database

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