Exact zero-point interaction energy between cylinders

We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numer...

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Autores principales: Mazzitelli, Francisco Diego, Dalvit, Diego Alejandro Roberto, Lombardo, Fernando César
Publicado: 2006
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v8_n_p_Mazzitelli
http://hdl.handle.net/20.500.12110/paper_13672630_v8_n_p_Mazzitelli
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spelling paper:paper_13672630_v8_n_p_Mazzitelli2023-06-08T16:12:10Z Exact zero-point interaction energy between cylinders Mazzitelli, Francisco Diego Dalvit, Diego Alejandro Roberto Lombardo, Fernando César Conductive materials Geometry Casimir interaction energy Eccentric cylinders Logarithmic decay Mode summation Cylinders (containers) We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numerically. These include concentric cylinders, cylinder-plane and eccentric cylinders, for small and large separations between the surfaces. For small separations we recover the proximity approximation, while for large separations we find a weak logarithmic decay of the Casimir interaction energy, typical of cylindrical geometries. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dalvit, D.A.R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v8_n_p_Mazzitelli http://hdl.handle.net/20.500.12110/paper_13672630_v8_n_p_Mazzitelli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Conductive materials
Geometry
Casimir interaction energy
Eccentric cylinders
Logarithmic decay
Mode summation
Cylinders (containers)
spellingShingle Conductive materials
Geometry
Casimir interaction energy
Eccentric cylinders
Logarithmic decay
Mode summation
Cylinders (containers)
Mazzitelli, Francisco Diego
Dalvit, Diego Alejandro Roberto
Lombardo, Fernando César
Exact zero-point interaction energy between cylinders
topic_facet Conductive materials
Geometry
Casimir interaction energy
Eccentric cylinders
Logarithmic decay
Mode summation
Cylinders (containers)
description We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numerically. These include concentric cylinders, cylinder-plane and eccentric cylinders, for small and large separations between the surfaces. For small separations we recover the proximity approximation, while for large separations we find a weak logarithmic decay of the Casimir interaction energy, typical of cylindrical geometries. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
author Mazzitelli, Francisco Diego
Dalvit, Diego Alejandro Roberto
Lombardo, Fernando César
author_facet Mazzitelli, Francisco Diego
Dalvit, Diego Alejandro Roberto
Lombardo, Fernando César
author_sort Mazzitelli, Francisco Diego
title Exact zero-point interaction energy between cylinders
title_short Exact zero-point interaction energy between cylinders
title_full Exact zero-point interaction energy between cylinders
title_fullStr Exact zero-point interaction energy between cylinders
title_full_unstemmed Exact zero-point interaction energy between cylinders
title_sort exact zero-point interaction energy between cylinders
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v8_n_p_Mazzitelli
http://hdl.handle.net/20.500.12110/paper_13672630_v8_n_p_Mazzitelli
work_keys_str_mv AT mazzitellifranciscodiego exactzeropointinteractionenergybetweencylinders
AT dalvitdiegoalejandroroberto exactzeropointinteractionenergybetweencylinders
AT lombardofernandocesar exactzeropointinteractionenergybetweencylinders
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