Non-superposition effects in the Dirichlet–Casimir effect

Autores
Ccapa Ttira, Claudio; Fosco, Cesar Daniel; Losada, Edith Lorena
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study non-superposition effects in the Dirichlet–Casimir interaction energy for N boundaries in d spatial dimensions, quantifying its departure from the case of an interaction where a superposition principle is valid. We first derive some general results about those effects, and then show that they become negligible only when the distances between surfaces are larger than the sizes of each individual surface. We consider different examples of this situation in one, two and three spatial dimensions. Finally, we present two examples, corresponding to highly symmetric configurations involving more than two surfaces. We show that, even though superposition is not valid, the total interaction energy may nevertheless be expressed as a sum of (non-Casimir) energies involving pairs of surfaces.
Fil: Ccapa Ttira, Claudio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Fosco, Cesar Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Losada, Edith Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Materia
CASIMIR
NONLOCAL
DIRICHLET-CASIMIR
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:11336/279200
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Non-superposition effects in the Dirichlet–Casimir effectCcapa Ttira, ClaudioFosco, Cesar DanielLosada, Edith LorenaCASIMIRNONLOCALDIRICHLET-CASIMIRhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study non-superposition effects in the Dirichlet–Casimir interaction energy for N boundaries in d spatial dimensions, quantifying its departure from the case of an interaction where a superposition principle is valid. We first derive some general results about those effects, and then show that they become negligible only when the distances between surfaces are larger than the sizes of each individual surface. We consider different examples of this situation in one, two and three spatial dimensions. Finally, we present two examples, corresponding to highly symmetric configurations involving more than two surfaces. We show that, even though superposition is not valid, the total interaction energy may nevertheless be expressed as a sum of (non-Casimir) energies involving pairs of surfaces.Fil: Ccapa Ttira, Claudio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaFil: Fosco, Cesar Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaFil: Losada, Edith Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaIOP Publishing2010-04info: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/11336/279200Ccapa Ttira, Claudio; Fosco, Cesar Daniel; Losada, Edith Lorena; Non-superposition effects in the Dirichlet–Casimir effect; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 23; 4-2010; 1-161751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/43/23/235402info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/43/23/235402info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:08:47Zoai:ri.conicet.gov.ar:11336/279200instacron: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:34982026-02-26 10:08:48.027CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Non-superposition effects in the Dirichlet–Casimir effect
title Non-superposition effects in the Dirichlet–Casimir effect
spellingShingle Non-superposition effects in the Dirichlet–Casimir effect
Ccapa Ttira, Claudio
CASIMIR
NONLOCAL
DIRICHLET-CASIMIR
title_short Non-superposition effects in the Dirichlet–Casimir effect
title_full Non-superposition effects in the Dirichlet–Casimir effect
title_fullStr Non-superposition effects in the Dirichlet–Casimir effect
title_full_unstemmed Non-superposition effects in the Dirichlet–Casimir effect
title_sort Non-superposition effects in the Dirichlet–Casimir effect
dc.creator.none.fl_str_mv Ccapa Ttira, Claudio
Fosco, Cesar Daniel
Losada, Edith Lorena
author Ccapa Ttira, Claudio
author_facet Ccapa Ttira, Claudio
Fosco, Cesar Daniel
Losada, Edith Lorena
author_role author
author2 Fosco, Cesar Daniel
Losada, Edith Lorena
author2_role author
author
dc.subject.none.fl_str_mv CASIMIR
NONLOCAL
DIRICHLET-CASIMIR
topic CASIMIR
NONLOCAL
DIRICHLET-CASIMIR
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 study non-superposition effects in the Dirichlet–Casimir interaction energy for N boundaries in d spatial dimensions, quantifying its departure from the case of an interaction where a superposition principle is valid. We first derive some general results about those effects, and then show that they become negligible only when the distances between surfaces are larger than the sizes of each individual surface. We consider different examples of this situation in one, two and three spatial dimensions. Finally, we present two examples, corresponding to highly symmetric configurations involving more than two surfaces. We show that, even though superposition is not valid, the total interaction energy may nevertheless be expressed as a sum of (non-Casimir) energies involving pairs of surfaces.
Fil: Ccapa Ttira, Claudio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Fosco, Cesar Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Losada, Edith Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
description We study non-superposition effects in the Dirichlet–Casimir interaction energy for N boundaries in d spatial dimensions, quantifying its departure from the case of an interaction where a superposition principle is valid. We first derive some general results about those effects, and then show that they become negligible only when the distances between surfaces are larger than the sizes of each individual surface. We consider different examples of this situation in one, two and three spatial dimensions. Finally, we present two examples, corresponding to highly symmetric configurations involving more than two surfaces. We show that, even though superposition is not valid, the total interaction energy may nevertheless be expressed as a sum of (non-Casimir) energies involving pairs of surfaces.
publishDate 2010
dc.date.none.fl_str_mv 2010-04
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/11336/279200
Ccapa Ttira, Claudio; Fosco, Cesar Daniel; Losada, Edith Lorena; Non-superposition effects in the Dirichlet–Casimir effect; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 23; 4-2010; 1-16
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279200
identifier_str_mv Ccapa Ttira, Claudio; Fosco, Cesar Daniel; Losada, Edith Lorena; Non-superposition effects in the Dirichlet–Casimir effect; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 23; 4-2010; 1-16
1751-8113
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://iopscience.iop.org/article/10.1088/1751-8113/43/23/235402
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/43/23/235402
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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 13.176822

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