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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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)
skos:prefLabel	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	P
http://linked.open...avai/riv/aktivity	P(LC06002)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Šeba, Petr
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 / Pedagogická fakulta
http://linked.open...dnocenehoVysledku	309469
http://linked.open...ai/riv/idVysledku	RIV/62690094:18440/09:00002503
http://linked.open...riv/jazykVysledku	eng - angličtina
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	ENERGY-LEVELS MODEL DOTS BILLIARDS CHAOTIC SYSTEMS DISORDERED-SYSTEMS MOTION UNIVERSAL CORRELATIONS LOCALIZATION DISTRIBUTIONS
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	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2009
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	7 (xsd:int)
http://localhost/t...ganizacniJednotka	18440
is http://linked.open...avai/riv/vysledek of	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 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

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