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Description
  • Studujeme aproximace biliárových systémů pomocí mřižových grafů. (cs)
  • We study approximations of billiard systems by lattice graphs., It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrodinger equation with energy rescaled by the billiard dimension. As an example, we analyze a Sinai billiard with attached leads. The results illustrate emergence of global structures in large quantum graphs and offer interesting comparisons with patterns observed-in complex networks of a different nature.
  • We study approximations of billiard systems by lattice graphs., It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrodinger equation with energy rescaled by the billiard dimension. As an example, we analyze a Sinai billiard with attached leads. The results illustrate emergence of global structures in large quantum graphs and offer interesting comparisons with patterns observed-in complex networks of a different nature. (en)
Title
  • Approximations by graphs and emergence of global structures
  • Approximations by graphs and emergence of global structures (en)
  • Aproximace prostřednictvím grafů a vznik globálních struktur (cs)
skos:prefLabel
  • Approximations by graphs and emergence of global structures
  • Approximations by graphs and emergence of global structures (en)
  • Aproximace prostřednictvím grafů a vznik globálních struktur (cs)
skos:notation
  • RIV/61389005:_____/06:00032291!RIV07-AV0-61389005
http://linked.open.../vavai/riv/strany
  • 23;31
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA202/02/0088), P(IAA100480501), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 465923
http://linked.open...ai/riv/idVysledku
  • RIV/61389005:_____/06:00032291
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quantum transport; scattering (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [952646100249]
http://linked.open...i/riv/nazevZdroje
  • Acta Physica Polonica. 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
  • 109
http://linked.open...iv/tvurceVysledku
  • Exner, Pavel
  • Šeba, Petr
  • Hejčík, P.
http://linked.open...n/vavai/riv/zamer
issn
  • 0587-4246
number of pages
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