Resonances from Perturbations of Quantum Graphs with Rationally Related Edges
Result description
We discuss quantum graphs consisting of a compact part and semi-infinite leads. Such a system may have embedded eigenvalues if some edge lengths in the compact part are rationally related. If such a relation is perturbed, these eigenvalues may turn intoresonances; we analyze this effect both generally and in simple examples.
Keywords
Algebraic methodsCombinatoricsgraph theoryScattering theoryFunctional analytical methods
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/61389005:_____/10:00342751
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Resonances from Perturbations of Quantum Graphs with Rationally Related Edges
Original language description
We discuss quantum graphs consisting of a compact part and semi-infinite leads. Such a system may have embedded eigenvalues if some edge lengths in the compact part are rationally related. If such a relation is perturbed, these eigenvalues may turn intoresonances; we analyze this effect both generally and in simple examples.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
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
10
Country of publishing house
GB - UNITED KINGDOM
Number of pages
21
Pages from-to
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UT code for WoS article
000274800900012
EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BE - Theoretical physics
Year of implementation
2010