Multiple reflection expansion and heat kernelcoefficients

Autores
Bordag, M.; Vassilievich, D.; Falomir, Horacio Alberto; Santangelo, Eve Mariel
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose the multiple reflection expansion as a tool for the calculation of heat kernel coefficients. As an example, we give the coefficients for a sphere as a finite sum over reflections, obtaining as a byproduct, a relation between the coefficients for Dirichlet and Neumann boundary conditions. Further, we calculate the heat kernel coefficients for the most general matching conditions on the surface of a sphere, including those cases corresponding to the presence of delta and delta prime background potentials. In the latter case, the multiple reflection expansion is shown to be nonconvergent.
Fil: Bordag, M.. University of Leipzig. Institute for Theoretical Physics; Alemania
Fil: Vassilievich, D.. University of Leipzig. Institute for Theoretical Physics; Alemania
Fil: Falomir, Horacio Alberto. 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
Fil: Santangelo, Eve Mariel. 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
HEAT KERNEL
MULTIPLE REFLECTION EXPANSION
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:11336/98116
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/98116
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Multiple reflection expansion and heat kernelcoefficientsBordag, M.Vassilievich, D.Falomir, Horacio AlbertoSantangelo, Eve MarielHEAT KERNELMULTIPLE REFLECTION EXPANSIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We propose the multiple reflection expansion as a tool for the calculation of heat kernel coefficients. As an example, we give the coefficients for a sphere as a finite sum over reflections, obtaining as a byproduct, a relation between the coefficients for Dirichlet and Neumann boundary conditions. Further, we calculate the heat kernel coefficients for the most general matching conditions on the surface of a sphere, including those cases corresponding to the presence of delta and delta prime background potentials. In the latter case, the multiple reflection expansion is shown to be nonconvergent.Fil: Bordag, M.. University of Leipzig. Institute for Theoretical Physics; AlemaniaFil: Vassilievich, D.. University of Leipzig. Institute for Theoretical Physics; AlemaniaFil: Falomir, Horacio Alberto. 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; ArgentinaFil: Santangelo, Eve Mariel. 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; ArgentinaAmerican Physical Society2001-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/98116Bordag, M.; Vassilievich, D.; Falomir, Horacio Alberto; Santangelo, Eve Mariel; Multiple reflection expansion and heat kernelcoefficients; American Physical Society; Physical Review D; 64; 12-2001; 045017-280556-2821CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.64.045017info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.64.045017info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:32:23Zoai:ri.conicet.gov.ar:11336/98116instacron: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:34982025-09-29 10:32:24.131CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Multiple reflection expansion and heat kernelcoefficients
title Multiple reflection expansion and heat kernelcoefficients
spellingShingle Multiple reflection expansion and heat kernelcoefficients
Bordag, M.
HEAT KERNEL
MULTIPLE REFLECTION EXPANSION
title_short Multiple reflection expansion and heat kernelcoefficients
title_full Multiple reflection expansion and heat kernelcoefficients
title_fullStr Multiple reflection expansion and heat kernelcoefficients
title_full_unstemmed Multiple reflection expansion and heat kernelcoefficients
title_sort Multiple reflection expansion and heat kernelcoefficients
dc.creator.none.fl_str_mv Bordag, M.
Vassilievich, D.
Falomir, Horacio Alberto
Santangelo, Eve Mariel
author Bordag, M.
author_facet Bordag, M.
Vassilievich, D.
Falomir, Horacio Alberto
Santangelo, Eve Mariel
author_role author
author2 Vassilievich, D.
Falomir, Horacio Alberto
Santangelo, Eve Mariel
author2_role author
author
author
dc.subject.none.fl_str_mv HEAT KERNEL
MULTIPLE REFLECTION EXPANSION
topic HEAT KERNEL
MULTIPLE REFLECTION EXPANSION
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 propose the multiple reflection expansion as a tool for the calculation of heat kernel coefficients. As an example, we give the coefficients for a sphere as a finite sum over reflections, obtaining as a byproduct, a relation between the coefficients for Dirichlet and Neumann boundary conditions. Further, we calculate the heat kernel coefficients for the most general matching conditions on the surface of a sphere, including those cases corresponding to the presence of delta and delta prime background potentials. In the latter case, the multiple reflection expansion is shown to be nonconvergent.
Fil: Bordag, M.. University of Leipzig. Institute for Theoretical Physics; Alemania
Fil: Vassilievich, D.. University of Leipzig. Institute for Theoretical Physics; Alemania
Fil: Falomir, Horacio Alberto. 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
Fil: Santangelo, Eve Mariel. 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 We propose the multiple reflection expansion as a tool for the calculation of heat kernel coefficients. As an example, we give the coefficients for a sphere as a finite sum over reflections, obtaining as a byproduct, a relation between the coefficients for Dirichlet and Neumann boundary conditions. Further, we calculate the heat kernel coefficients for the most general matching conditions on the surface of a sphere, including those cases corresponding to the presence of delta and delta prime background potentials. In the latter case, the multiple reflection expansion is shown to be nonconvergent.
publishDate 2001
dc.date.none.fl_str_mv 2001-12
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/11336/98116
Bordag, M.; Vassilievich, D.; Falomir, Horacio Alberto; Santangelo, Eve Mariel; Multiple reflection expansion and heat kernelcoefficients; American Physical Society; Physical Review D; 64; 12-2001; 045017-28
0556-2821
CONICET Digital
CONICET
url http://hdl.handle.net/11336/98116
identifier_str_mv Bordag, M.; Vassilievich, D.; Falomir, Horacio Alberto; Santangelo, Eve Mariel; Multiple reflection expansion and heat kernelcoefficients; American Physical Society; Physical Review D; 64; 12-2001; 045017-28
0556-2821
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.64.045017
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.64.045017
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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 13.070432

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