About: Expontial splitting of bound states in a waveguide with a pair of distant windows

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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	Uvažujeme Laplacián v rovném rovinném pásu s Dirichletovou okrajovou podmínkou a Neumannovou podmínkou na dvou oknech stejné délky, se středy ve vzdálenosti 2l. Studujeme asyptotické chování diskrétního spektra pro l --> nekonečna. Kolem každé izolované vlastní hodnoty pásu s jedním oknem existují 2 vlastní hodnoty, jejichž vzdálenost exponenciálně klesá s l rostoucím do nekonečna. Je uvažován i případ prahové resonance (cs) We consider the Laplacian in a straight planar strip with Dirichlet boundary which has two Neumann 'windows' of the same length, the centres of which are 21 apart, and study the asymptotic behaviour of the discrete spectrum as 1 --> infinity. It is shown that there are pairs of eigenvalues around each isolated eigenvalue of a single-window strip and their distances vanish exponentially in the limit 1 --> infinity. We derive an asymptotic expansion also in the case where a single window gives rise to a threshold resonance which the presence of the other window turns into a single isolated eigenvalue We consider the Laplacian in a straight planar strip with Dirichlet boundary which has two Neumann 'windows' of the same length, the centres of which are 21 apart, and study the asymptotic behaviour of the discrete spectrum as 1 --> infinity. It is shown that there are pairs of eigenvalues around each isolated eigenvalue of a single-window strip and their distances vanish exponentially in the limit 1 --> infinity. We derive an asymptotic expansion also in the case where a single window gives rise to a threshold resonance which the presence of the other window turns into a single isolated eigenvalue (en)
Title	Expontial splitting of bound states in a waveguide with a pair of distant windows Exponenciální rozštěpení vázaných stavů ve vlnovodu s dvojicí vzdálených oken (cs) Expontial splitting of bound states in a waveguide with a pair of distant windows (en)
skos:prefLabel	Expontial splitting of bound states in a waveguide with a pair of distant windows Exponenciální rozštěpení vázaných stavů ve vlnovodu s dvojicí vzdálených oken (cs) Expontial splitting of bound states in a waveguide with a pair of distant windows (en)
skos:notation	RIV/61389005:_____/04:00101856!RIV/2005/AV0/A49005/N
http://linked.open.../vavai/riv/strany	3411;3428
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1048101), Z(AV0Z1048901)
http://linked.open...iv/cisloPeriodika	10
http://linked.open...vai/riv/dodaniDat	2005
http://linked.open...aciTvurceVysledku	Exner, Pavel
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	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	563904
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/04:00101856
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Schrodinger operator;local perturbations;plane (en)
http://linked.open.../riv/klicoveSlovo	plane local perturbations Schrodinger operator
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[30C698B0A981]
http://linked.open...i/riv/nazevZdroje	Journal of Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Quantum graphs and related systems
http://linked.open...UplatneniVysledku	2004
http://linked.open...v/svazekPeriodika	37
http://linked.open...iv/tvurceVysledku	Exner, Pavel Borisov, D.
http://linked.open...n/vavai/riv/zamer	Theoretical and experimental investigation of atomic nuclei and exploitation of nuclear methods in interdisciplinary research
issn	0305-4470
number of pages	18 (xsd:int)

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