Spectrum of a Dilated Honeycomb Network

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00237930" target="_blank" >RIV/68407700:21340/15:00237930 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/15:00443407
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs00020-014-2194-1" target="_blank" >http://link.springer.com/article/10.1007%2Fs00020-014-2194-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00020-014-2194-1" target="_blank" >10.1007/s00020-014-2194-1</a>

Result language
angličtina
Original language name
Spectrum of a Dilated Honeycomb Network
Original language description
We analyze spectrum of Laplacian supported by a periodic honeycomb lattice with generally unequal edge lengths and a delta type coupling in the vertices. Such a quantum graph has nonempty point spectrum with compactly supported eigenfunctions provided all the edge lengths are commensurate. We derive conditions determining the continuous spectral component and show that existence of gaps may depend on number-theoretic properties of edge lengths ratios. The case when two of the three lengths coincide is discussed in detail.
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/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>
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

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