Approximations of Singular Vertex Couplings in Quantum Graphs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F07%3A04133562" target="_blank" >RIV/68407700:21340/07:04133562 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/07:00096906
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Approximations of Singular Vertex Couplings in Quantum Graphs
Original language description
We discuss approximations of the vertex coupling on a star-shaped quantum graph of n edges in the singular case when the wave functions are not continuous at the vertex and no edge-permutation symmetry is present. It is shown that the Cheon-Shigehara technique using d interactions with nonlinearly scaled couplings yields a 2n-parameter family of boundary conditions in the sense of norm resolvent topology. Moreover, using graphs with additional edges, one can approximate the ${nchoose2}$-parameter family of all time-reversal invariant couplings.
Czech name
Aproximace singulárních vrcholových vazeb v kvantových grafech
Czech description
Diskutujeme aproximaci vrcholové vazby hvězdicového grafu o n hranách v singulárním případě, kdy vlnové funkce nejsou spojité a graf nemá permutační symetrii.

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
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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