High-energy asymptotics of the spectrum of a periodic square lattice quantum graph
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F10%3A00350846" target="_blank" >RIV/61389005:_____/10:00350846 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
High-energy asymptotics of the spectrum of a periodic square lattice quantum graph
Original language description
We investigate a periodic quantum graph in the form of a square lattice with a general self-adjoint coupling at the vertices. We analyse the spectrum's high-energy behaviour. Depending on the coupling type, bands and gaps have different asymptotics. Bands may be flat even if the edges are coupled, and non-flat band widths may behave like O(n(j)), j = 1, 0,-1,-2,-3, as the band index n -> infinity. The gaps may be of asymptotically constant width or linearly growing with the latter case being generic.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics A-Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
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Volume of the periodical
43
Issue of the periodical within the volume
47
Country of publishing house
GB - UNITED KINGDOM
Number of pages
25
Pages from-to
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UT code for WoS article
000284100400025
EID of the result in the Scopus database
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