Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits

Autores
Caruso, Mariano Guillermo; Fanchiotti, Huner; García Canal, Carlos Alberto
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An equivalence between the Schrodinger dynamics of a quantum system with a finite number of basis states and a classical dynamics is presented. The equivalence is an isomorphism that connects in univocal way both dynamical systems. We treat the particular case of neutral kaons and found a class of electric networks uniquely related to the kaon system finding the complete map between the matrix elements of the effective Hamiltonian of kaons and those elements of the classical dynamics of the networks. As a consequence, the relevant ϵ parameter that measures CP violation in the kaon system is completely determined in terms of network parameters.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Equivalent dynamics
Isomorphism
Classical dynamics
Quantum dynamics
Decomplexification
Kaon
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/129498

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network_name_str SEDICI (UNLP)
spelling Equivalence between classical and quantum dynamics : Neutral kaons and electric circuitsCaruso, Mariano GuillermoFanchiotti, HunerGarcía Canal, Carlos AlbertoCiencias ExactasFísicaEquivalent dynamicsIsomorphismClassical dynamicsQuantum dynamicsDecomplexificationKaonAn equivalence between the Schrodinger dynamics of a quantum system with a finite number of basis states and a classical dynamics is presented. The equivalence is an isomorphism that connects in univocal way both dynamical systems. We treat the particular case of neutral kaons and found a class of electric networks uniquely related to the kaon system finding the complete map between the matrix elements of the effective Hamiltonian of kaons and those elements of the classical dynamics of the networks. As a consequence, the relevant ϵ parameter that measures CP violation in the kaon system is completely determined in terms of network parameters.Facultad de Ciencias ExactasInstituto de Física La Plata2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf2717-2736http://sedici.unlp.edu.ar/handle/10915/129498enginfo:eu-repo/semantics/altIdentifier/issn/0003-4916info:eu-repo/semantics/altIdentifier/issn/1096-035Xinfo:eu-repo/semantics/altIdentifier/arxiv/1104.1968info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2011.05.004info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2026-02-26T11:18:26Zoai:sedici.unlp.edu.ar:10915/129498Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292026-02-26 11:18:27.235SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits
title Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits
spellingShingle Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits
Caruso, Mariano Guillermo
Ciencias Exactas
Física
Equivalent dynamics
Isomorphism
Classical dynamics
Quantum dynamics
Decomplexification
Kaon
title_short Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits
title_full Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits
title_fullStr Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits
title_full_unstemmed Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits
title_sort Equivalence between classical and quantum dynamics : Neutral kaons and electric circuits
dc.creator.none.fl_str_mv Caruso, Mariano Guillermo
Fanchiotti, Huner
García Canal, Carlos Alberto
author Caruso, Mariano Guillermo
author_facet Caruso, Mariano Guillermo
Fanchiotti, Huner
García Canal, Carlos Alberto
author_role author
author2 Fanchiotti, Huner
García Canal, Carlos Alberto
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Equivalent dynamics
Isomorphism
Classical dynamics
Quantum dynamics
Decomplexification
Kaon
topic Ciencias Exactas
Física
Equivalent dynamics
Isomorphism
Classical dynamics
Quantum dynamics
Decomplexification
Kaon
dc.description.none.fl_txt_mv An equivalence between the Schrodinger dynamics of a quantum system with a finite number of basis states and a classical dynamics is presented. The equivalence is an isomorphism that connects in univocal way both dynamical systems. We treat the particular case of neutral kaons and found a class of electric networks uniquely related to the kaon system finding the complete map between the matrix elements of the effective Hamiltonian of kaons and those elements of the classical dynamics of the networks. As a consequence, the relevant ϵ parameter that measures CP violation in the kaon system is completely determined in terms of network parameters.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description An equivalence between the Schrodinger dynamics of a quantum system with a finite number of basis states and a classical dynamics is presented. The equivalence is an isomorphism that connects in univocal way both dynamical systems. We treat the particular case of neutral kaons and found a class of electric networks uniquely related to the kaon system finding the complete map between the matrix elements of the effective Hamiltonian of kaons and those elements of the classical dynamics of the networks. As a consequence, the relevant ϵ parameter that measures CP violation in the kaon system is completely determined in terms of network parameters.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/129498
url http://sedici.unlp.edu.ar/handle/10915/129498
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0003-4916
info:eu-repo/semantics/altIdentifier/issn/1096-035X
info:eu-repo/semantics/altIdentifier/arxiv/1104.1968
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aop.2011.05.004
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
2717-2736
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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