Non-Weyl Microwave Graphs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F19%3A50015530" target="_blank" >RIV/62690094:18470/19:50015530 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevLett.122.140503" target="_blank" >https://doi.org/10.1103/PhysRevLett.122.140503</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevLett.122.140503" target="_blank" >10.1103/PhysRevLett.122.140503</a>
Alternative languages
Result language
angličtina
Original language name
Non-Weyl Microwave Graphs
Original language description
One of the most important characteristics of a quantum graph is the average density of resonances, rho = (L/pi), where L denotes the length of the graph. This is a very robust measure. It does not depend on the number of vertices in a graph and holds also for most of the boundary conditions at the vertices. Graphs obeying this characteristic are called Weyl graphs. Using microwave networks that simulate quantum graphs we show that there exist graphs that do not adhere to this characteristic. Such graphs are called non-Weyl graphs. For standard coupling conditions we demonstrate that the transition from a Weyl graph to a non-Weyl graph occurs if we introduce a balanced vertex. A vertex of a graph is called balanced if the numbers of infinite leads and internal edges meeting at a vertex are the same. Our experimental results confirm the theoretical predictions of [E. B. Davies and A. Pushnitski, Analysis and PDE 4, 729 (2011)] and are in excellent agreement with the numerical calculations yielding the resonances of the networks.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical review letters
ISSN
0031-9007
e-ISSN
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Volume of the periodical
122
Issue of the periodical within the volume
14
Country of publishing house
US - UNITED STATES
Number of pages
5
Pages from-to
"140503-1"-"140503-5"
UT code for WoS article
000464754700004
EID of the result in the Scopus database
2-s2.0-85064256637