Application of Quotient Graph Theory to Three-Edge Star Graphs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018874" target="_blank" >RIV/62690094:18470/21:50018874 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.12693/APhysPolA.140.514" target="_blank" >http://dx.doi.org/10.12693/APhysPolA.140.514</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12693/APhysPolA.140.514" target="_blank" >10.12693/APhysPolA.140.514</a>

Result language
angličtina
Original language name
Application of Quotient Graph Theory to Three-Edge Star Graphs
Original language description
We apply the quotient graph theory described by Band, Berkolaiko, Joyner and Liu to particular graphs symmetric with respect to S-3 and C-3 symmetry groups. We find the quotient graphs for the three-edge star quantum graph with Neumann boundary conditions at the loose ends and three types of coupling conditions at the central vertex (standard, ffi and preferred-orientation coupling). These quotient graphs are smaller than the original graph and the direct sum of quotient graph Hamiltonians is unitarily equivalent to the original Hamiltonian.
Czech name
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Czech description
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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
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Acta physica polonica. Seria A, General physics, solid state physics, applied physics
ISSN
0587-4246
e-ISSN
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Volume of the periodical
140
Issue of the periodical within the volume
6
Country of publishing house
PL - POLAND
Number of pages
11
Pages from-to
514-524
UT code for WoS article
000740780200006
EID of the result in the Scopus database
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