About the concept of quantum chaos

Autores
Gomez, Ignacio Sebastián; Losada, Marcelo Adrián; Lombardi, Olimpia Iris
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was produced. Nevertheless, the work on the subject is, even at present, a superposition of several approaches expressed in different mathematical formalisms and weakly linked to each other. The purpose of this paper is to supply a unified framework for describing quantum chaos using the quantum ergodic hierarchy. Using the factorization property of this framework, we characterize the dynamical aspects of quantum chaos by obtaining the Ehrenfest time. We also outline a generalization of the quantum mixing level of the kicked rotator in the context of the impulsive differential equations.
Fil: Gomez, Ignacio Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Losada, Marcelo Adrián. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; Argentina
Fil: Lombardi, Olimpia Iris. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; Argentina
Materia
CLASSICAL LIMIT
ERGODIC HIERARCHY
QUANTUM CHAOS
QUANTUM ERGODIC HIERARCHY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/66520
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling About the concept of quantum chaosGomez, Ignacio SebastiánLosada, Marcelo AdriánLombardi, Olimpia IrisCLASSICAL LIMITERGODIC HIERARCHYQUANTUM CHAOSQUANTUM ERGODIC HIERARCHYhttps://purl.org/becyt/ford/6.3https://purl.org/becyt/ford/6The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was produced. Nevertheless, the work on the subject is, even at present, a superposition of several approaches expressed in different mathematical formalisms and weakly linked to each other. The purpose of this paper is to supply a unified framework for describing quantum chaos using the quantum ergodic hierarchy. Using the factorization property of this framework, we characterize the dynamical aspects of quantum chaos by obtaining the Ehrenfest time. We also outline a generalization of the quantum mixing level of the kicked rotator in the context of the impulsive differential equations.Fil: Gomez, Ignacio Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Losada, Marcelo Adrián. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; ArgentinaFil: Lombardi, Olimpia Iris. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; ArgentinaMolecular Diversity Preservation International2017-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/66520Gomez, Ignacio Sebastián; Losada, Marcelo Adrián; Lombardi, Olimpia Iris; About the concept of quantum chaos; Molecular Diversity Preservation International; Entropy; 19; 5; 5-2017; 1-301099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3390/e19050205info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/19/5/205info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:45:03Zoai:ri.conicet.gov.ar:11336/66520instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:45:03.675CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv About the concept of quantum chaos
title About the concept of quantum chaos
spellingShingle About the concept of quantum chaos
Gomez, Ignacio Sebastián
CLASSICAL LIMIT
ERGODIC HIERARCHY
QUANTUM CHAOS
QUANTUM ERGODIC HIERARCHY
title_short About the concept of quantum chaos
title_full About the concept of quantum chaos
title_fullStr About the concept of quantum chaos
title_full_unstemmed About the concept of quantum chaos
title_sort About the concept of quantum chaos
dc.creator.none.fl_str_mv Gomez, Ignacio Sebastián
Losada, Marcelo Adrián
Lombardi, Olimpia Iris
author Gomez, Ignacio Sebastián
author_facet Gomez, Ignacio Sebastián
Losada, Marcelo Adrián
Lombardi, Olimpia Iris
author_role author
author2 Losada, Marcelo Adrián
Lombardi, Olimpia Iris
author2_role author
author
dc.subject.none.fl_str_mv CLASSICAL LIMIT
ERGODIC HIERARCHY
QUANTUM CHAOS
QUANTUM ERGODIC HIERARCHY
topic CLASSICAL LIMIT
ERGODIC HIERARCHY
QUANTUM CHAOS
QUANTUM ERGODIC HIERARCHY
purl_subject.fl_str_mv https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
dc.description.none.fl_txt_mv The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was produced. Nevertheless, the work on the subject is, even at present, a superposition of several approaches expressed in different mathematical formalisms and weakly linked to each other. The purpose of this paper is to supply a unified framework for describing quantum chaos using the quantum ergodic hierarchy. Using the factorization property of this framework, we characterize the dynamical aspects of quantum chaos by obtaining the Ehrenfest time. We also outline a generalization of the quantum mixing level of the kicked rotator in the context of the impulsive differential equations.
Fil: Gomez, Ignacio Sebastián. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Losada, Marcelo Adrián. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; Argentina
Fil: Lombardi, Olimpia Iris. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; Argentina
description The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was produced. Nevertheless, the work on the subject is, even at present, a superposition of several approaches expressed in different mathematical formalisms and weakly linked to each other. The purpose of this paper is to supply a unified framework for describing quantum chaos using the quantum ergodic hierarchy. Using the factorization property of this framework, we characterize the dynamical aspects of quantum chaos by obtaining the Ehrenfest time. We also outline a generalization of the quantum mixing level of the kicked rotator in the context of the impulsive differential equations.
publishDate 2017
dc.date.none.fl_str_mv 2017-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/66520
Gomez, Ignacio Sebastián; Losada, Marcelo Adrián; Lombardi, Olimpia Iris; About the concept of quantum chaos; Molecular Diversity Preservation International; Entropy; 19; 5; 5-2017; 1-30
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/66520
identifier_str_mv Gomez, Ignacio Sebastián; Losada, Marcelo Adrián; Lombardi, Olimpia Iris; About the concept of quantum chaos; Molecular Diversity Preservation International; Entropy; 19; 5; 5-2017; 1-30
1099-4300
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3390/e19050205
info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/19/5/205
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Molecular Diversity Preservation International
publisher.none.fl_str_mv Molecular Diversity Preservation International
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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