Pseudo-Orbit Expansion for the Resonance Condition on Quantum Graphs and the Resonance Asymptotics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F15%3A50004115" target="_blank" >RIV/62690094:18470/15:50004115 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.12693/aphyspola.128.968" target="_blank" >http://dx.doi.org/10.12693/aphyspola.128.968</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12693/APhysPolA.128.968" target="_blank" >10.12693/APhysPolA.128.968</a>

Result language
angličtina
Original language name
Pseudo-Orbit Expansion for the Resonance Condition on Quantum Graphs and the Resonance Asymptotics
Original language description
In this note we explain the method how to find the resonance condition on quantum graphs, which is called pseudo-orbit expansion. In three examples with standard coupling we show in detail how to obtain the resonance condition. We focus on non-Weyl graphs, i.e. the graphs which have fewer resonances than expected. For these graphs we explain benefits of the method of "deleting edges" for simplifying the graph.
Czech name
—
Czech description
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Project
<a href="/en/project/GJ15-14180Y" target="_blank" >GJ15-14180Y: Spectral and resonance properties of quantum models</a><br>
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

Article name in the collection
Acta physica polonica. Seria A, General physics, solid state physics, applied physics
ISBN
—
ISSN
0587-4246
e-ISSN
—
Number of pages
6
Pages from-to
968-973
Publisher name
Panstwowe wydawnictvo naukowe
Place of publication
Warszawa
Event location
Varšava
Event date
May 29, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000370721500003

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