About: Improved unfolding by detrending of statistical fluctuations in quantum spectra

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://pre.aps.org/pdf/PRE/v84/i1/e016203
Description	A fundamental relation exists between the statistical properties of the fluctuations of the energy-level spectrum of a Hamiltonian and the chaotic properties of the physical system it describes. This relationship has been addressed previously as a signature of chaos in quantum dynamical systems. In order to properly analyze these fluctuations, however, it is necessary to separate them from the general tendency, namely, its secular part. Unfortunately this process, called unfolding, is not trivial and can lead to erroneous conclusions about the chaoticity of a system. In this paper we propose a technique to improve the unfolding procedure for the purpose of minimizing the dependence on the particular procedure. This technique is based on detrending the fluctuations of the unfolded spectra through the empirical mode decomposition method. A fundamental relation exists between the statistical properties of the fluctuations of the energy-level spectrum of a Hamiltonian and the chaotic properties of the physical system it describes. This relationship has been addressed previously as a signature of chaos in quantum dynamical systems. In order to properly analyze these fluctuations, however, it is necessary to separate them from the general tendency, namely, its secular part. Unfortunately this process, called unfolding, is not trivial and can lead to erroneous conclusions about the chaoticity of a system. In this paper we propose a technique to improve the unfolding procedure for the purpose of minimizing the dependence on the particular procedure. This technique is based on detrending the fluctuations of the unfolded spectra through the empirical mode decomposition method. (en)
Title	Improved unfolding by detrending of statistical fluctuations in quantum spectra Improved unfolding by detrending of statistical fluctuations in quantum spectra (en)
skos:prefLabel	Improved unfolding by detrending of statistical fluctuations in quantum spectra Improved unfolding by detrending of statistical fluctuations in quantum spectra (en)
skos:notation	RIV/00216208:11320/11:10105593!RIV12-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA202/09/0084), Z(MSM0021620859)
http://linked.open...iv/cisloPeriodika	july
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Stránský, Pavel
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 Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	203932
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/11:10105593
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	fluctuations; emprical mode decomposition; unfolding (en)
http://linked.open.../riv/klicoveSlovo	emprical mode decomposition fluctuations unfolding
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[2233D7E2BE4B]
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	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Collective phenomena in interacting many-body systems
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	84
http://linked.open...iv/tvurceVysledku	Frank, Alejandro Landa, Emmanuel Morales, Irving Stránský, Pavel
http://linked.open...ain/vavai/riv/wos	000293397600003
http://linked.open...n/vavai/riv/zamer	Výzkum vlastností jader a subjaderných částic a jejich interakcí
issn	1539-3755
number of pages	7 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevE.84.016203
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Improved unfolding by detrending of statistical fluctuations in quantum spectra Improved unfolding by detrending of statistical fluctuations in quantum spectra

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