The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics

Autores
Lombardi, Olimpia Iris; Castagnino, Mario Alberto G. J.; Ardenghi, Juan Sebastian
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The aim of this paper is to analyze the modal-Hamiltonian interpretation of quantum mechanics in the light of the Galilean group. In particular, it is shown that the rule of definite-value assignment proposed by that interpretation has the same properties of Galilean covariance and invariance as the Schrödinger equation. Moreover, it is argued that, when the Schrödinger equation is invariant, the rule can be reformulated in an explicitly invariant form in terms of the Casimir operators of the Galilean group. Finally, the possibility of extrapolating the rule to quantum field theory is considered.
Fil: Lombardi, Olimpia Iris. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; Argentina
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
Fil: Ardenghi, Juan Sebastian. 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
Materia
Covariance
Galilean Group
Hamiltonian
Invariance
Modal Interpretations
Quantum Mechanics
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:11336/68871
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanicsLombardi, Olimpia IrisCastagnino, Mario Alberto G. J.Ardenghi, Juan SebastianCovarianceGalilean GroupHamiltonianInvarianceModal InterpretationsQuantum Mechanicshttps://purl.org/becyt/ford/6.3https://purl.org/becyt/ford/6The aim of this paper is to analyze the modal-Hamiltonian interpretation of quantum mechanics in the light of the Galilean group. In particular, it is shown that the rule of definite-value assignment proposed by that interpretation has the same properties of Galilean covariance and invariance as the Schrödinger equation. Moreover, it is argued that, when the Schrödinger equation is invariant, the rule can be reformulated in an explicitly invariant form in terms of the Casimir operators of the Galilean group. Finally, the possibility of extrapolating the rule to quantum field theory is considered.Fil: Lombardi, Olimpia Iris. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; ArgentinaFil: 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; ArgentinaFil: Ardenghi, Juan Sebastian. 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; ArgentinaElsevier2010-05info: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/11336/68871Lombardi, Olimpia Iris; Castagnino, Mario Alberto G. J.; Ardenghi, Juan Sebastian; The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics; Elsevier; Studies In History And Philosophy Of Modern Physics; 41; 2; 5-2010; 93-1031355-2198CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S135521981000016Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.shpsb.2010.02.002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:03:15Zoai:ri.conicet.gov.ar:11336/68871instacron: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 15:03:15.353CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
spellingShingle The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
Lombardi, Olimpia Iris
Covariance
Galilean Group
Hamiltonian
Invariance
Modal Interpretations
Quantum Mechanics
title_short The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_full The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_fullStr The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_full_unstemmed The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
title_sort The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics
dc.creator.none.fl_str_mv Lombardi, Olimpia Iris
Castagnino, Mario Alberto G. J.
Ardenghi, Juan Sebastian
author Lombardi, Olimpia Iris
author_facet Lombardi, Olimpia Iris
Castagnino, Mario Alberto G. J.
Ardenghi, Juan Sebastian
author_role author
author2 Castagnino, Mario Alberto G. J.
Ardenghi, Juan Sebastian
author2_role author
author
dc.subject.none.fl_str_mv Covariance
Galilean Group
Hamiltonian
Invariance
Modal Interpretations
Quantum Mechanics
topic Covariance
Galilean Group
Hamiltonian
Invariance
Modal Interpretations
Quantum Mechanics
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 aim of this paper is to analyze the modal-Hamiltonian interpretation of quantum mechanics in the light of the Galilean group. In particular, it is shown that the rule of definite-value assignment proposed by that interpretation has the same properties of Galilean covariance and invariance as the Schrödinger equation. Moreover, it is argued that, when the Schrödinger equation is invariant, the rule can be reformulated in an explicitly invariant form in terms of the Casimir operators of the Galilean group. Finally, the possibility of extrapolating the rule to quantum field theory is considered.
Fil: Lombardi, Olimpia Iris. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; Argentina
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
Fil: Ardenghi, Juan Sebastian. 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
description The aim of this paper is to analyze the modal-Hamiltonian interpretation of quantum mechanics in the light of the Galilean group. In particular, it is shown that the rule of definite-value assignment proposed by that interpretation has the same properties of Galilean covariance and invariance as the Schrödinger equation. Moreover, it is argued that, when the Schrödinger equation is invariant, the rule can be reformulated in an explicitly invariant form in terms of the Casimir operators of the Galilean group. Finally, the possibility of extrapolating the rule to quantum field theory is considered.
publishDate 2010
dc.date.none.fl_str_mv 2010-05
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/11336/68871
Lombardi, Olimpia Iris; Castagnino, Mario Alberto G. J.; Ardenghi, Juan Sebastian; The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics; Elsevier; Studies In History And Philosophy Of Modern Physics; 41; 2; 5-2010; 93-103
1355-2198
CONICET Digital
CONICET
url http://hdl.handle.net/11336/68871
identifier_str_mv Lombardi, Olimpia Iris; Castagnino, Mario Alberto G. J.; Ardenghi, Juan Sebastian; The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics; Elsevier; Studies In History And Philosophy Of Modern Physics; 41; 2; 5-2010; 93-103
1355-2198
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S135521981000016X
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.shpsb.2010.02.002
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
publisher.none.fl_str_mv Elsevier
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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