Classical analogue of the statistical operator

Autores
Plastino, Ángel Luis; Plastino, Ángel Ricardo; Zander, Claudia
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation performed upon the global classical density matrix leads to a marginal density matrix describing a subsystem. In the case of dynamically independent subsystems (that is, non-interacting subsystems) this marginal density matrix evolves locally, its behavior being completely determined by the local phase-space flow associated with the subsystem under consideration. However, and in contrast with the case of ordinary marginal probability densities, the marginal classical density matrix contains information concerning the statistical correlations between a subsystem and the rest of the system.
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España
Fil: Zander, Claudia. University of Pretoria; Sudáfrica
Materia
Statistical Operator
Liouville Dynamics
Physics of Information
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/23792
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Classical analogue of the statistical operatorPlastino, Ángel LuisPlastino, Ángel RicardoZander, ClaudiaStatistical OperatorLiouville DynamicsPhysics of Informationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation performed upon the global classical density matrix leads to a marginal density matrix describing a subsystem. In the case of dynamically independent subsystems (that is, non-interacting subsystems) this marginal density matrix evolves locally, its behavior being completely determined by the local phase-space flow associated with the subsystem under consideration. However, and in contrast with the case of ordinary marginal probability densities, the marginal classical density matrix contains information concerning the statistical correlations between a subsystem and the rest of the system.Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; EspañaFil: Zander, Claudia. University of Pretoria; SudáfricaDe Gruyter2014-03info: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/11336/23792Plastino, Ángel Luis; Plastino, Ángel Ricardo; Zander, Claudia; Classical analogue of the statistical operator; De Gruyter; Central European Journal of Physics; 12; 3; 3-2014; 168-1741895-10821644-3608CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.2478/s11534-014-0438-yinfo:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/phys.2014.12.issue-3/s11534-014-0438-y/s11534-014-0438-y.xmlinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.2478/s11534-014-0438-yinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:23:00Zoai:ri.conicet.gov.ar:11336/23792instacron: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:34982025-10-15 14:23:00.36CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Classical analogue of the statistical operator
title Classical analogue of the statistical operator
spellingShingle Classical analogue of the statistical operator
Plastino, Ángel Luis
Statistical Operator
Liouville Dynamics
Physics of Information
title_short Classical analogue of the statistical operator
title_full Classical analogue of the statistical operator
title_fullStr Classical analogue of the statistical operator
title_full_unstemmed Classical analogue of the statistical operator
title_sort Classical analogue of the statistical operator
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Plastino, Ángel Ricardo
Zander, Claudia
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Plastino, Ángel Ricardo
Zander, Claudia
author_role author
author2 Plastino, Ángel Ricardo
Zander, Claudia
author2_role author
author
dc.subject.none.fl_str_mv Statistical Operator
Liouville Dynamics
Physics of Information
topic Statistical Operator
Liouville Dynamics
Physics of Information
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation performed upon the global classical density matrix leads to a marginal density matrix describing a subsystem. In the case of dynamically independent subsystems (that is, non-interacting subsystems) this marginal density matrix evolves locally, its behavior being completely determined by the local phase-space flow associated with the subsystem under consideration. However, and in contrast with the case of ordinary marginal probability densities, the marginal classical density matrix contains information concerning the statistical correlations between a subsystem and the rest of the system.
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Bioinvestigaciones (Sede Junín); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Granada. Facultad de Ciencias. Departamento de Electromagnetismo y Física de la Materia. Instituto "Carlos I" de Física Teórica y Computacional; España
Fil: Zander, Claudia. University of Pretoria; Sudáfrica
description We advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation performed upon the global classical density matrix leads to a marginal density matrix describing a subsystem. In the case of dynamically independent subsystems (that is, non-interacting subsystems) this marginal density matrix evolves locally, its behavior being completely determined by the local phase-space flow associated with the subsystem under consideration. However, and in contrast with the case of ordinary marginal probability densities, the marginal classical density matrix contains information concerning the statistical correlations between a subsystem and the rest of the system.
publishDate 2014
dc.date.none.fl_str_mv 2014-03
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/11336/23792
Plastino, Ángel Luis; Plastino, Ángel Ricardo; Zander, Claudia; Classical analogue of the statistical operator; De Gruyter; Central European Journal of Physics; 12; 3; 3-2014; 168-174
1895-1082
1644-3608
CONICET Digital
CONICET
url http://hdl.handle.net/11336/23792
identifier_str_mv Plastino, Ángel Luis; Plastino, Ángel Ricardo; Zander, Claudia; Classical analogue of the statistical operator; De Gruyter; Central European Journal of Physics; 12; 3; 3-2014; 168-174
1895-1082
1644-3608
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.2478/s11534-014-0438-y
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/phys.2014.12.issue-3/s11534-014-0438-y/s11534-014-0438-y.xml
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.2478/s11534-014-0438-y
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv De Gruyter
publisher.none.fl_str_mv De Gruyter
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 13.22299

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