Spectra of magnetic chain graphs: coupling constant perturbations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00237416" target="_blank" >RIV/68407700:21340/15:00237416 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/15:00443225
Result on the web
<a href="http://dx.doi.org/10.1088/1751-8113/48/12/125302" target="_blank" >http://dx.doi.org/10.1088/1751-8113/48/12/125302</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/48/12/125302" target="_blank" >10.1088/1751-8113/48/12/125302</a>

Result language
angličtina
Original language name
Spectra of magnetic chain graphs: coupling constant perturbations
Original language description
We analyze spectral properties of a quantum graph in the form of a ring chain with a delta coupling in the vertices exposed to a homogeneous magnetic field perpendicular to the graph plane. We find the band spectrum in the case when the chain exhibits atranslational symmetry and study the discrete spectrum in the gaps resulting from changing a finite number of vertex coupling constants. In particular, we discuss in detail some examples such as perturbations of one or two vertices, weak perturbation asymptotics, and a pair of distant perturbations.
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
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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