Classical limit and quantum logic

Autores
Losada, Marcelo Adrián; Fortin, Sebastian Ezequiel; Holik, Federico Hernán
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The analysis of the classical limit of quantum mechanics usually focuses on the state of the system. The general idea is to explain the disappearance of the interference terms of quantum states appealing to the decoherence process induced by the environment. However, in these approaches it is not explained how the structure of quantum properties becomes classical. In this paper, we consider the classical limit from a different perspective. We consider the set of properties of a quantum system and we study the quantum-toclassical transition of its logical structure. The aim is to open the door to a new study based on dynamical logics, that is, logics that change over time. In particular, we appeal to the notion of hybrid logics to describe semiclassical systems. Moreover, we consider systems with many characteristic decoherence times, whose sublattices of properties become distributive at different times.
Fil: Losada, Marcelo Adrián. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Fortin, Sebastian Ezequiel. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Holik, Federico Hernán. 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
Materia
CLASSICAL LIMIT
QUANTUM LOGICS
ALGEBRAS
DYNAMICAL LOGICS
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:11336/41257
Acceder
id CONICETDig_f31064d72eb2323b6bcfc98f05b757a5
oai_identifier_str oai:ri.conicet.gov.ar:11336/41257
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Classical limit and quantum logicLosada, Marcelo AdriánFortin, Sebastian EzequielHolik, Federico HernánCLASSICAL LIMITQUANTUM LOGICSALGEBRASDYNAMICAL LOGICShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The analysis of the classical limit of quantum mechanics usually focuses on the state of the system. The general idea is to explain the disappearance of the interference terms of quantum states appealing to the decoherence process induced by the environment. However, in these approaches it is not explained how the structure of quantum properties becomes classical. In this paper, we consider the classical limit from a different perspective. We consider the set of properties of a quantum system and we study the quantum-toclassical transition of its logical structure. The aim is to open the door to a new study based on dynamical logics, that is, logics that change over time. In particular, we appeal to the notion of hybrid logics to describe semiclassical systems. Moreover, we consider systems with many characteristic decoherence times, whose sublattices of properties become distributive at different times.Fil: Losada, Marcelo Adrián. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Fortin, Sebastian Ezequiel. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Holik, Federico Hernán. 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; ArgentinaSpringer/Plenum Publishers2018-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/41257Losada, Marcelo Adrián; Fortin, Sebastian Ezequiel; Holik, Federico Hernán; Classical limit and quantum logic; Springer/Plenum Publishers; International Journal of Theoretical Physics; 57; 2; 2-2018; 465-4750020-77481572-9575CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10773-017-3579-0info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10773-017-3579-0info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:46:17Zoai:ri.conicet.gov.ar:11336/41257instacron: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:34982025-09-03 09:46:17.339CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Classical limit and quantum logic
title Classical limit and quantum logic
spellingShingle Classical limit and quantum logic
Losada, Marcelo Adrián
CLASSICAL LIMIT
QUANTUM LOGICS
ALGEBRAS
DYNAMICAL LOGICS
title_short Classical limit and quantum logic
title_full Classical limit and quantum logic
title_fullStr Classical limit and quantum logic
title_full_unstemmed Classical limit and quantum logic
title_sort Classical limit and quantum logic
dc.creator.none.fl_str_mv Losada, Marcelo Adrián
Fortin, Sebastian Ezequiel
Holik, Federico Hernán
author Losada, Marcelo Adrián
author_facet Losada, Marcelo Adrián
Fortin, Sebastian Ezequiel
Holik, Federico Hernán
author_role author
author2 Fortin, Sebastian Ezequiel
Holik, Federico Hernán
author2_role author
author
dc.subject.none.fl_str_mv CLASSICAL LIMIT
QUANTUM LOGICS
ALGEBRAS
DYNAMICAL LOGICS
topic CLASSICAL LIMIT
QUANTUM LOGICS
ALGEBRAS
DYNAMICAL LOGICS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The analysis of the classical limit of quantum mechanics usually focuses on the state of the system. The general idea is to explain the disappearance of the interference terms of quantum states appealing to the decoherence process induced by the environment. However, in these approaches it is not explained how the structure of quantum properties becomes classical. In this paper, we consider the classical limit from a different perspective. We consider the set of properties of a quantum system and we study the quantum-toclassical transition of its logical structure. The aim is to open the door to a new study based on dynamical logics, that is, logics that change over time. In particular, we appeal to the notion of hybrid logics to describe semiclassical systems. Moreover, we consider systems with many characteristic decoherence times, whose sublattices of properties become distributive at different times.
Fil: Losada, Marcelo Adrián. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Fortin, Sebastian Ezequiel. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Holik, Federico Hernán. 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
description The analysis of the classical limit of quantum mechanics usually focuses on the state of the system. The general idea is to explain the disappearance of the interference terms of quantum states appealing to the decoherence process induced by the environment. However, in these approaches it is not explained how the structure of quantum properties becomes classical. In this paper, we consider the classical limit from a different perspective. We consider the set of properties of a quantum system and we study the quantum-toclassical transition of its logical structure. The aim is to open the door to a new study based on dynamical logics, that is, logics that change over time. In particular, we appeal to the notion of hybrid logics to describe semiclassical systems. Moreover, we consider systems with many characteristic decoherence times, whose sublattices of properties become distributive at different times.
publishDate 2018
dc.date.none.fl_str_mv 2018-02
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/11336/41257
Losada, Marcelo Adrián; Fortin, Sebastian Ezequiel; Holik, Federico Hernán; Classical limit and quantum logic; Springer/Plenum Publishers; International Journal of Theoretical Physics; 57; 2; 2-2018; 465-475
0020-7748
1572-9575
CONICET Digital
CONICET
url http://hdl.handle.net/11336/41257
identifier_str_mv Losada, Marcelo Adrián; Fortin, Sebastian Ezequiel; Holik, Federico Hernán; Classical limit and quantum logic; Springer/Plenum Publishers; International Journal of Theoretical Physics; 57; 2; 2-2018; 465-475
0020-7748
1572-9575
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s10773-017-3579-0
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10773-017-3579-0
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
dc.publisher.none.fl_str_mv Springer/Plenum Publishers
publisher.none.fl_str_mv Springer/Plenum Publishers
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
_version_ 1842268783613313024
score 13.13397

Publicaciones similares