About: Approximations of Singular Vertex Couplings in Quantum Graphs

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Diskutujeme aproximaci vrcholové vazby hvězdicového grafu o n hranách v singulárním případě, kdy vlnové funkce nejsou spojité a graf nemá permutační symetrii. (cs) 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 ${n\choose2}$-parameter family of all time-reversal invariant couplings. 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 ${n\choose2}$-parameter family of all time-reversal invariant couplings. (en)
Title	Approximations of Singular Vertex Couplings in Quantum Graphs Approximations of Singular Vertex Couplings in Quantum Graphs (en) Aproximace singulárních vrcholových vazeb v kvantových grafech (cs)
skos:prefLabel	Approximations of Singular Vertex Couplings in Quantum Graphs Approximations of Singular Vertex Couplings in Quantum Graphs (en) Aproximace singulárních vrcholových vazeb v kvantových grafech (cs)
skos:notation	RIV/68407700:21340/07:04133562!RIV08-MSM-21340___
http://linked.open.../vavai/riv/strany	571;606
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100480501), P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Exner, Pavel Turek, Ondřej
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	410609
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/07:04133562
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Schrödinger operators; graphs; singular coupling (en)
http://linked.open.../riv/klicoveSlovo	graphs Schrödinger operators singular coupling
http://linked.open...odStatuVydavatele	SG - Singapurská republika
http://linked.open...ontrolniKodProRIV	[0472C272AB5E]
http://linked.open...i/riv/nazevZdroje	Reviews in Mathematical Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics Solvable models of nanosystems
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	19
http://linked.open...iv/tvurceVysledku	Exner, Pavel Turek, Ondřej
http://linked.open...n/vavai/riv/zamer	Jaderná fyzika a příbuzné obory v základním, aplikovaném a interdisciplinárním výzkumu
issn	0129-055X
number of pages	36 (xsd:int)
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Approximations of Singular Vertex Couplings in Quantum Graphs Approximations of Singular Vertex Couplings in Quantum Graphs Approximations of Singular Vertex Couplings in Quantum Graphs

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