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Description
  • We study asymptotical behaviour of resonances for a quantum graph consisting of a finite internal part and external leads placed into a magnetic field, in particular, the question whether their number follows the Weyl law. We prove that the presence of a magnetic field cannot change a non-Weyl asymptotics into a Weyl one and vice versa. On the other hand, we present examples demonstrating that for some non-Weyl graphs the %22effective size%22 of the graph, and therefore the resonance asymptotics, can be affected by the magnetic field. (C) 2010 Elsevier B.V. All rights reserved.
  • We study asymptotical behaviour of resonances for a quantum graph consisting of a finite internal part and external leads placed into a magnetic field, in particular, the question whether their number follows the Weyl law. We prove that the presence of a magnetic field cannot change a non-Weyl asymptotics into a Weyl one and vice versa. On the other hand, we present examples demonstrating that for some non-Weyl graphs the %22effective size%22 of the graph, and therefore the resonance asymptotics, can be affected by the magnetic field. (C) 2010 Elsevier B.V. All rights reserved. (en)
Title
  • Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
  • Non-Weyl resonance asymptotics for quantum graphs in a magnetic field (en)
skos:prefLabel
  • Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
  • Non-Weyl resonance asymptotics for quantum graphs in a magnetic field (en)
skos:notation
  • RIV/61389005:_____/11:00366262!RIV12-AV0-61389005
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP203/11/0701), P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...dnocenehoVysledku
  • 216289
http://linked.open...ai/riv/idVysledku
  • RIV/61389005:_____/11:00366262
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Quantum graphs; Magnetic field; Resonances (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [61BB2B181755]
http://linked.open...i/riv/nazevZdroje
  • Physics Letters. A
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 375
http://linked.open...iv/tvurceVysledku
  • Exner, Pavel
  • Lipovský, J.
http://linked.open...ain/vavai/riv/wos
  • 000286683600002
http://linked.open...n/vavai/riv/zamer
issn
  • 0375-9601
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.physleta.2010.12.042
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