About: Quantum chaotic patterns in the E circle times(b(1)+b(2)) Jahn-Teller model

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Statistické vlastnosti excitovaných spekter Ex(b1+b2) Jahn-Tellerova modelu reprezentuje rozdělení vzdáleností nejbližších hladin. Statisticky významný soubor obcházejících se hladin je důležitý pro diagnostiku chaosu. Zjistili jsme, že toto rozdělení je neuniverzální, vykazuje škálování s odmocninou vzdálenosti pro malé vzdálenosti a asymptoticky se blíží k Poissonovskému rozdělení pro velké vzdálenosti. Toto rozdělení je univerzální a charakteristické pro přechod mezi kovem a izolátorem v Andersonově modelu ve třech dimenzích. (cs) We study statistical properties of excited levels of the E circle times(b(1)+b(2)) Jahn-Teller model. The multitude of avoided crossings of energy levels is generally claimed to be a testimony of quantum chaos. We found that apart from two limiting cases (E circle times e and Holstein model) the distribution of nearest-neighbor spacings is rather stable as to the change of parameters and different from the Wigner one. This limiting distribution assumably shows scaling similar to root S at small S and resembles the semi-Poisson law P(S)=4S exp(-2S) at S >= 1. The latter is believed to be universal and characteristic, e.g., at the transition between metal and insulator phases. We study statistical properties of excited levels of the E circle times(b(1)+b(2)) Jahn-Teller model. The multitude of avoided crossings of energy levels is generally claimed to be a testimony of quantum chaos. We found that apart from two limiting cases (E circle times e and Holstein model) the distribution of nearest-neighbor spacings is rather stable as to the change of parameters and different from the Wigner one. This limiting distribution assumably shows scaling similar to root S at small S and resembles the semi-Poisson law P(S)=4S exp(-2S) at S >= 1. The latter is believed to be universal and characteristic, e.g., at the transition between metal and insulator phases. (en)
Title	Quantum chaotic patterns in the E circle times(b(1)+b(2)) Jahn-Teller model Kvantově-chaotické struktury v Ex(b1+b2) Jahn-Tellerova modelu (cs) Quantum chaotic patterns in the E circle times(b(1)+b(2)) Jahn-Teller model (en)
skos:prefLabel	Quantum chaotic patterns in the E circle times(b(1)+b(2)) Jahn-Teller model Kvantově-chaotické struktury v Ex(b1+b2) Jahn-Tellerova modelu (cs) Quantum chaotic patterns in the E circle times(b(1)+b(2)) Jahn-Teller model (en)
skos:notation	RIV/61989592:15310/06:00003005!RIV07-GA0-15310___
http://linked.open.../vavai/riv/strany	0572021-0572024
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA202/06/0396)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2007
http://linked.open...aciTvurceVysledku	Majerníková, Eva
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 Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	496213
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/06:00003005
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	LEVEL-SPACINGS; RANDOM-MATRIX; SYMMETRY-BREAKING; PHONON STATES; GROUND-STATE; SYSTEMS; TRANSITION; DYNAMICS; SPECTRA; APPROXIMATION (en)
http://linked.open.../riv/klicoveSlovo	LEVEL-SPACINGS PHONON STATES GROUND-STATE SYMMETRY-BREAKING SYSTEMS DYNAMICS APPROXIMATION SPECTRA TRANSITION RANDOM-MATRIX
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[68E67DD07E2E]
http://linked.open...i/riv/nazevZdroje	Physical Review E
http://linked.open...in/vavai/riv/obor	BM
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Chaos in nonlinear electron-phonon quantum systems
http://linked.open...UplatneniVysledku	2006
http://linked.open...v/svazekPeriodika	73
http://linked.open...iv/tvurceVysledku	Majerníková, Eva Shpyrko, Serhiy
issn	1539-3755
number of pages	4 (xsd:int)
http://localhost/t...ganizacniJednotka	15310
is http://linked.open...avai/riv/vysledek of	Quantum chaotic patterns in the E circle times(b(1)+b(2)) Jahn-Teller model Quantum chaotic patterns in the E circle times(b(1)+b(2)) Jahn-Teller model

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