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  • The aim of this paper is to study asymptotical behaviour of an infinite two-dimensional periodic rectangular network. A general singular coupling in the vertices is supposed. We will show that for certain vertex couplings the system behaves significantly differently from the spectrum of the corresponding one-dimensional system, i.e. that the classification of spectral asymptotics of one-dimensional periodic networks is not applicable here.
  • The aim of this paper is to study asymptotical behaviour of an infinite two-dimensional periodic rectangular network. A general singular coupling in the vertices is supposed. We will show that for certain vertex couplings the system behaves significantly differently from the spectrum of the corresponding one-dimensional system, i.e. that the classification of spectral asymptotics of one-dimensional periodic networks is not applicable here. (en)
  • Předmětem práce je studium asymptotického chování spektra nekonečné dvoudimenzionální periodické obdélníkové mřížky s obdélníkovou buňkou. Ve vrcholech předpokládáme obecnou singulární vazbu. Ukážeme, že pro určité vazby může tento systém vykazovat chování, které se silně odlišuje od chování spektra příslušných jednodimenzionálních systémů, jinak řečeno, že zde nelze využít klasifikaci spektra známou pro jednodimenzionální sítě. (cs)
Title
  • High-energy asymptotics of the spectrum of a rectangular periodic network
  • Vysokoenergetická asymptotika spektra pravoúhlé periodické mříže (cs)
  • High-energy asymptotics of the spectrum of a rectangular periodic network (en)
skos:prefLabel
  • High-energy asymptotics of the spectrum of a rectangular periodic network
  • Vysokoenergetická asymptotika spektra pravoúhlé periodické mříže (cs)
  • High-energy asymptotics of the spectrum of a rectangular periodic network (en)
skos:notation
  • RIV/68407700:21340/08:04150957!RIV09-MSM-21340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LC06002), Z(MSM6840770039)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 370099
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/08:04150957
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Schrödinger operator; periodic system; spectrum (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [F4A73DB4A493]
http://linked.open...v/mistoKonaniAkce
  • Praha
http://linked.open...i/riv/mistoVydani
  • Praha
http://linked.open...i/riv/nazevZdroje
  • Doktorandské dny 2008
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...iv/tvurceVysledku
  • Turek, Ondřej
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Česká technika - nakladatelství ČVUT
https://schema.org/isbn
  • 978-80-01-04195-6
http://localhost/t...ganizacniJednotka
  • 21340
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