About: Magnetic transport in a straight parabolic channel

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We study a charged two-dimensional particle confined to a straight parabolic-potential channel and exposed to a homogeneous magnetic field under the influence of a potential perturbation W. If W is bounded and periodic along the channel, a perturbative argument yields the absolute continuity of the bottom of the spectrum. We show that it can have any finite number of open gaps provided that the confining potential is sufficiently strong. However, if W depends on the periodic variable only, we prove by the Thomas argument that the whole spectrum is absolutely continuous, irrespective of the size of the perturbation. On the other hand, if W is small and satisfies a weak localization condition in the the longitudinal direction, we prove by the Mourre method that a part of the absolutely continuous spectrum persists. We study a charged two-dimensional particle confined to a straight parabolic-potential channel and exposed to a homogeneous magnetic field under the influence of a potential perturbation W. If W is bounded and periodic along the channel, a perturbative argument yields the absolute continuity of the bottom of the spectrum. We show that it can have any finite number of open gaps provided that the confining potential is sufficiently strong. However, if W depends on the periodic variable only, we prove by the Thomas argument that the whole spectrum is absolutely continuous, irrespective of the size of the perturbation. On the other hand, if W is small and satisfies a weak localization condition in the the longitudinal direction, we prove by the Mourre method that a part of the absolutely continuous spectrum persists. (en) Studujeme dvourozměrnou nabitou částici uvězněnou v přímém parabolickém potenciálním kanálu a vystavenou vlivu potenciální poruchy W. (cs)
Title	Magnetický přenos v přímém parabolickém kanálu (cs) Magnetic transport in a straight parabolic channel Magnetic transport in a straight parabolic channel (en)
skos:prefLabel	Magnetický přenos v přímém parabolickém kanálu (cs) Magnetic transport in a straight parabolic channel Magnetic transport in a straight parabolic channel (en)
skos:notation	RIV/61389005:_____/01:00000741!RIV06-AV0-61389005
http://linked.open.../vavai/riv/strany	9733;9752
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1048101), Z(AV0Z1048901)
http://linked.open...iv/cisloPeriodika	45
http://linked.open...vai/riv/dodaniDat	2006
http://linked.open...aciTvurceVysledku	Kovařík, Hynek 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	685720
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/01:00000741
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	edge statec; hamiltonians; operators (en)
http://linked.open.../riv/klicoveSlovo	edge statec hamiltonians operators
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[E134FDF7F801]
http://linked.open...i/riv/nazevZdroje	Journal of Physics. A - Mathematical and General Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Quantum graphs and related systems
http://linked.open...UplatneniVysledku	2001
http://linked.open...v/svazekPeriodika	34
http://linked.open...iv/tvurceVysledku	Exner, Pavel Kovařík, Hynek Joye, A.
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	20 (xsd:int)

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