Location of the essential spectrum in curved quantum layers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F14%3A00434273" target="_blank" >RIV/61389005:_____/14:00434273 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4893035" target="_blank" >http://dx.doi.org/10.1063/1.4893035</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4893035" target="_blank" >10.1063/1.4893035</a>

Result language
angličtina
Original language name
Location of the essential spectrum in curved quantum layers
Original language description
We consider the Dirichlet Laplacian in tubular neighbourhoods of complete noncompact Riemannian manifolds immersed in the Euclidean space. We show that the essential spectrum coincides with the spectrum of a planar tube provided that the second fundamental form of the manifold vanishes at infinity and the transport of the cross-section along the manifold is asymptotically parallel. For low dimensions and codimension, the result applies to the location of propagating states in nanostructures under physically natural conditions.
Czech name
—
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
<a href="/en/project/GAP203%2F11%2F0701" target="_blank" >GAP203/11/0701: Guided Quantum Dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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