About: Departure of some parameter-dependent spectral statistics of irregular quantum graphs from random matrix theory predictions     Goto   Sponge   NotDistinct   Permalink

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  • Parameter-dependent statistical properties of spectra of totally connected irregular quantum graphs with Neumann boundary conditions are studied. The autocorrelation functions of level velocities c(x) and (c) over tilde(omega, x) as well as the distributions of level curvatures and avoided crossing gaps are calculated. The numerical results are compared with the predictions of random matrix theory for Gaussian orthogonal ensemble (GOE) and for coupled GOE matrices. The application of coupled GOE matrices was justified by studying localization phenomena in graphs' wave functions Psi(x) using the inverse participation ratio and the amplitude distribution P(Psi(x)).
  • Parameter-dependent statistical properties of spectra of totally connected irregular quantum graphs with Neumann boundary conditions are studied. The autocorrelation functions of level velocities c(x) and (c) over tilde(omega, x) as well as the distributions of level curvatures and avoided crossing gaps are calculated. The numerical results are compared with the predictions of random matrix theory for Gaussian orthogonal ensemble (GOE) and for coupled GOE matrices. The application of coupled GOE matrices was justified by studying localization phenomena in graphs' wave functions Psi(x) using the inverse participation ratio and the amplitude distribution P(Psi(x)). (en)
Title
  • Departure of some parameter-dependent spectral statistics of irregular quantum graphs from random matrix theory predictions
  • Departure of some parameter-dependent spectral statistics of irregular quantum graphs from random matrix theory predictions (en)
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  • Departure of some parameter-dependent spectral statistics of irregular quantum graphs from random matrix theory predictions
  • Departure of some parameter-dependent spectral statistics of irregular quantum graphs from random matrix theory predictions (en)
skos:notation
  • RIV/62690094:18440/09:00002503!RIV10-MSM-18440___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LC06002)
http://linked.open...iv/cisloPeriodika
  • 6
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
  • 309469
http://linked.open...ai/riv/idVysledku
  • RIV/62690094:18440/09:00002503
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • CHAOTIC SYSTEMS; ENERGY-LEVELS; UNIVERSAL CORRELATIONS; DISORDERED-SYSTEMS; MOTION; DISTRIBUTIONS; LOCALIZATION; DOTS; BILLIARDS; MODEL (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [B740DDF85681]
http://linked.open...i/riv/nazevZdroje
  • Physical review E : statistical, nonlinear and soft matter physics
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
  • 79
http://linked.open...iv/tvurceVysledku
  • Šeba, Petr
  • Hul, Oleh
  • Sirko, Leszek
http://linked.open...ain/vavai/riv/wos
  • 000267698900035
issn
  • 1539-3755
number of pages
http://localhost/t...ganizacniJednotka
  • 18440
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