Multiple reflection expansion and heat kernel coefficients

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....

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Detalles Bibliográficos
Autores principales: Bordag, M., Vassilievich, D., Falomir, Horacio Alberto, Santángelo, Eve Mariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Ciencias Exactas
Física
heat kernel
multiple reflection expansion
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/104421
http://hdl.handle.net/11336/98116
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.64.045017
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-104421
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
heat kernel
multiple reflection expansion
spellingShingle Ciencias Exactas
Física
heat kernel
multiple reflection expansion
Bordag, M.
Vassilievich, D.
Falomir, Horacio Alberto
Santángelo, Eve Mariel
Multiple reflection expansion and heat kernel coefficients
topic_facet Ciencias Exactas
Física
heat kernel
multiple reflection expansion
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.
format Articulo
Articulo
author Bordag, M.
Vassilievich, D.
Falomir, Horacio Alberto
Santángelo, Eve Mariel
author_facet Bordag, M.
Vassilievich, D.
Falomir, Horacio Alberto
Santángelo, Eve Mariel
author_sort Bordag, M.
title Multiple reflection expansion and heat kernel coefficients
title_short Multiple reflection expansion and heat kernel coefficients
title_full Multiple reflection expansion and heat kernel coefficients
title_fullStr Multiple reflection expansion and heat kernel coefficients
title_full_unstemmed Multiple reflection expansion and heat kernel coefficients
title_sort multiple reflection expansion and heat kernel coefficients
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/104421
http://hdl.handle.net/11336/98116
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.64.045017
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AT falomirhoracioalberto multiplereflectionexpansionandheatkernelcoefficients
AT santangeloevemariel multiplereflectionexpansionandheatkernelcoefficients
bdutipo_str Repositorios
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