Creation of spectral bands for a periodic domain with small windows

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F16%3A50005127" target="_blank" >RIV/62690094:18470/16:50005127 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1134/S1061920816010027" target="_blank" >http://dx.doi.org/10.1134/S1061920816010027</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S1061920816010027" target="_blank" >10.1134/S1061920816010027</a>

Result language
angličtina
Original language name
Creation of spectral bands for a periodic domain with small windows
Original language description
We consider a Schrodinger operator in a periodic system of strip-like domains coupled by small windows. As the windows close, the domain decouples into an infinite series of identical domains. The operator similar to the original one, and defined on one copy of these identical domains, has an essential spectrum. We show that once there is a virtual level at the threshold of this essential spectrum, the windows turn this virtual level into the spectral bands for the original operator. We study the structure and the asymptotic behavior of these bands.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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