About: Resonances on Hedgehog Manifolds

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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
rdfs:seeAlso	http://ctn.cvut.cz/ap/download.php?id=885
Description	We discuss resonances for a nonrelativistic and spinless quantum particle confined to a two- or three-dimensional Riemannian manifold to which a finite number of semiinfinite leads is attached. Resolvent and scattering resonances are shown to coincide in this situation. Next we consider the resonances together with embedded eigenvalues and ask about the high-energy asymptotics of such a family. For the case when all the halflines are attached at a single point we prove that all resonances are in the momentum plane confined to a strip parallel to the real axis, in contrast to the analogous asymptotics in some metric quantum graphs; we illustrate this on several simple examples. On the other hand, the resonance behaviour can be influenced by a magnetic field. We provide an example of such a %22hedgehog%22 manifold at which a suitable Aharonov-Bohm flux leads to absence of any true resonance, i.e. that corresponding to a pole outside the real axis. We discuss resonances for a nonrelativistic and spinless quantum particle confined to a two- or three-dimensional Riemannian manifold to which a finite number of semiinfinite leads is attached. Resolvent and scattering resonances are shown to coincide in this situation. Next we consider the resonances together with embedded eigenvalues and ask about the high-energy asymptotics of such a family. For the case when all the halflines are attached at a single point we prove that all resonances are in the momentum plane confined to a strip parallel to the real axis, in contrast to the analogous asymptotics in some metric quantum graphs; we illustrate this on several simple examples. On the other hand, the resonance behaviour can be influenced by a magnetic field. We provide an example of such a %22hedgehog%22 manifold at which a suitable Aharonov-Bohm flux leads to absence of any true resonance, i.e. that corresponding to a pole outside the real axis. (en)
Title	Resonances on Hedgehog Manifolds Resonances on Hedgehog Manifolds (en)
skos:prefLabel	Resonances on Hedgehog Manifolds Resonances on Hedgehog Manifolds (en)
skos:notation	RIV/62690094:18470/13:50001676!RIV14-MSM-18470___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(EE2.3.30.0015)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Lipovský, Jiří
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	Univerzita Hradec Králové / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	102616
http://linked.open...ai/riv/idVysledku	RIV/62690094:18470/13:50001676
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	resonances; quantum graphs; Weyl asymptotics; hedgehog manifolds (en)
http://linked.open.../riv/klicoveSlovo	resonances quantum graphs Weyl asymptotics hedgehog manifolds
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[54D81AAB120E]
http://linked.open...i/riv/nazevZdroje	Acta polytechnica
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Development activities postdocs at the University of the Hradec Králové
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	2013
http://linked.open...iv/tvurceVysledku	Exner, Pavel Lipovský, Jiří
issn	1210-2709
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.14311/AP.2013.53.0416
http://localhost/t...ganizacniJednotka	18470

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