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Statements

Subject Item
n2:RIV%2F61389005%3A_____%2F05%3A00032288%21RIV06-AV0-61389005
rdf:type
skos:Concept n15:Vysledek
dcterms:description
We consider a model of a leaky quantum wire with the Hamiltonian -Delta - alpha delta(x - Gamma) in L-2(R-2), where Gamma is a compact deformation of a straight line. The existence of wave operators is proven and the S-matrix is found for the negative part of the spectrum. Moreover, we conjecture that the scattering at negative energies becomes asymptotically purely one-dimensional, being determined by the local geometry in the leading order, if Gamma is a smooth curve and alpha -> infinity. Vyšetřujeme rozptyl v modelu kvantového drátu popsaného singulárním Schrödingerovým operátorem. We consider a model of a leaky quantum wire with the Hamiltonian -Delta - alpha delta(x - Gamma) in L-2(R-2), where Gamma is a compact deformation of a straight line. The existence of wave operators is proven and the S-matrix is found for the negative part of the spectrum. Moreover, we conjecture that the scattering at negative energies becomes asymptotically purely one-dimensional, being determined by the local geometry in the leading order, if Gamma is a smooth curve and alpha -> infinity.
dcterms:title
Rozptyl na lokálních deformacích přímého drátu připouštějícího tunelování Scattering by local deformations of a straight leaky wire Scattering by local deformations of a straight leaky wire
skos:prefLabel
Scattering by local deformations of a straight leaky wire Scattering by local deformations of a straight leaky wire Rozptyl na lokálních deformacích přímého drátu připouštějícího tunelování
skos:notation
RIV/61389005:_____/05:00032288!RIV06-AV0-61389005
n3:strany
4865;4874
n3:aktivita
n16:P n16:Z
n3:aktivity
P(KSK1010104), Z(AV0Z1048901)
n3:cisloPeriodika
22
n3:dodaniDat
n11:2006
n3:domaciTvurceVysledku
n10:2448580 n10:3138097
n3:druhVysledku
n14:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
541915
n3:idVysledku
RIV/61389005:_____/05:00032288
n3:jazykVysledku
n13:eng
n3:klicovaSlova
strong delta-interaction; Schrödinger operator; quantum graphs
n3:klicoveSlovo
n6:strong%20delta-interaction n6:Schr%C3%B6dinger%20operator n6:quantum%20graphs
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[7647220FB75D]
n3:nazevZdroje
Journal of Physics. A - Mathematical and General Physics
n3:obor
n9:BE
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n12:KSK1010104
n3:rokUplatneniVysledku
n11:2005
n3:svazekPeriodika
38
n3:tvurceVysledku
Exner, Pavel Kondej, Sylwia
n3:zamer
n17:AV0Z1048901
s:issn
0305-4470
s:numberOfPages
10