Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing

Autores
Castagnino, Mario Alberto G. J.; Lombardi, Olimpia Iris
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In a previous paper we have given a general framework for addressing the definition of quantum chaos by identifying the conditions that a quantum system must satisfy to lead to non-integrability in its classical limit. In this paper we will generalize those results, with the purpose of defining the two lower levels of the quantum ergodic hierarchy: ergodicity and mixing. We will also argue for the physical relevance of this approach by considering a particular example where our formalism has been successfully applied.
Fil: Castagnino, Mario Alberto G. J.. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Lombardi, Olimpia Iris. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Quantum Chaos
Quantum Ergodicity
Quantum Mixing
Decoherence
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:11336/21518
Acceder
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spelling Towards a definition of the quantum ergodic hierarchy: ergodicity and mixingCastagnino, Mario Alberto G. J.Lombardi, Olimpia IrisQuantum ChaosQuantum ErgodicityQuantum MixingDecoherencehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In a previous paper we have given a general framework for addressing the definition of quantum chaos by identifying the conditions that a quantum system must satisfy to lead to non-integrability in its classical limit. In this paper we will generalize those results, with the purpose of defining the two lower levels of the quantum ergodic hierarchy: ergodicity and mixing. We will also argue for the physical relevance of this approach by considering a particular example where our formalism has been successfully applied.Fil: Castagnino, Mario Alberto G. J.. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; ArgentinaFil: Lombardi, Olimpia Iris. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2009-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/21518Castagnino, Mario Alberto G. J.; Lombardi, Olimpia Iris; Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 388; 4; 2-2009; 247-2670378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2008.10.019info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437108008753info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:09:11Zoai:ri.conicet.gov.ar:11336/21518instacron: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:34982025-09-10 13:09:11.303CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
title Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
spellingShingle Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
Castagnino, Mario Alberto G. J.
Quantum Chaos
Quantum Ergodicity
Quantum Mixing
Decoherence
title_short Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
title_full Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
title_fullStr Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
title_full_unstemmed Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
title_sort Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
dc.creator.none.fl_str_mv Castagnino, Mario Alberto G. J.
Lombardi, Olimpia Iris
author Castagnino, Mario Alberto G. J.
author_facet Castagnino, Mario Alberto G. J.
Lombardi, Olimpia Iris
author_role author
author2 Lombardi, Olimpia Iris
author2_role author
dc.subject.none.fl_str_mv Quantum Chaos
Quantum Ergodicity
Quantum Mixing
Decoherence
topic Quantum Chaos
Quantum Ergodicity
Quantum Mixing
Decoherence
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In a previous paper we have given a general framework for addressing the definition of quantum chaos by identifying the conditions that a quantum system must satisfy to lead to non-integrability in its classical limit. In this paper we will generalize those results, with the purpose of defining the two lower levels of the quantum ergodic hierarchy: ergodicity and mixing. We will also argue for the physical relevance of this approach by considering a particular example where our formalism has been successfully applied.
Fil: Castagnino, Mario Alberto G. J.. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Instituto de Física de Rosario. Universidad Nacional de Rosario. Instituto de Física de Rosario; Argentina
Fil: Lombardi, Olimpia Iris. Universidad de Buenos Aires. Facultad de Filosofía y Letras. Instituto de Filosofía "Dr. Alejandro Korn"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In a previous paper we have given a general framework for addressing the definition of quantum chaos by identifying the conditions that a quantum system must satisfy to lead to non-integrability in its classical limit. In this paper we will generalize those results, with the purpose of defining the two lower levels of the quantum ergodic hierarchy: ergodicity and mixing. We will also argue for the physical relevance of this approach by considering a particular example where our formalism has been successfully applied.
publishDate 2009
dc.date.none.fl_str_mv 2009-02
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/11336/21518
Castagnino, Mario Alberto G. J.; Lombardi, Olimpia Iris; Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 388; 4; 2-2009; 247-267
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21518
identifier_str_mv Castagnino, Mario Alberto G. J.; Lombardi, Olimpia Iris; Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 388; 4; 2-2009; 247-267
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2008.10.019
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437108008753
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
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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 12.993085

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