Difference between the vacuum Casimir energies for grounded and isolated conductors
We study the vacuum (i.e., zero-temperature) Casimir energy for a system of neutral conductors which are isolated, as opposed to grounded. The former is meant to describe a situation where the total charge on each conductor, as well as all of its fluctuations, vanishes, while the latter describes a...
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paper:paper_24700010_v94_n8_p_Fosco2023-06-08T16:36:27Z Difference between the vacuum Casimir energies for grounded and isolated conductors Lombardo, Fernando César Mazzitelli, Francisco Diego We study the vacuum (i.e., zero-temperature) Casimir energy for a system of neutral conductors which are isolated, as opposed to grounded. The former is meant to describe a situation where the total charge on each conductor, as well as all of its fluctuations, vanishes, while the latter describes a situation where the conductors are connected to a charge reservoir. We compute the difference between the vacuum energies for a given system of conductors, but subjected to the two different conditions stated above. The results can be written in terms of a generalized, frequency-dependent capacitance matrix of the system. Using a multipolar expansion, we show that the grounded Casimir energy includes a monopole-monopole interaction term that is absent in the isolated case in the large distance limit. © 2016 American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n8_p_Fosco http://hdl.handle.net/20.500.12110/paper_24700010_v94_n8_p_Fosco |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We study the vacuum (i.e., zero-temperature) Casimir energy for a system of neutral conductors which are isolated, as opposed to grounded. The former is meant to describe a situation where the total charge on each conductor, as well as all of its fluctuations, vanishes, while the latter describes a situation where the conductors are connected to a charge reservoir. We compute the difference between the vacuum energies for a given system of conductors, but subjected to the two different conditions stated above. The results can be written in terms of a generalized, frequency-dependent capacitance matrix of the system. Using a multipolar expansion, we show that the grounded Casimir energy includes a monopole-monopole interaction term that is absent in the isolated case in the large distance limit. © 2016 American Physical Society. |
author |
Lombardo, Fernando César Mazzitelli, Francisco Diego |
spellingShingle |
Lombardo, Fernando César Mazzitelli, Francisco Diego Difference between the vacuum Casimir energies for grounded and isolated conductors |
author_facet |
Lombardo, Fernando César Mazzitelli, Francisco Diego |
author_sort |
Lombardo, Fernando César |
title |
Difference between the vacuum Casimir energies for grounded and isolated conductors |
title_short |
Difference between the vacuum Casimir energies for grounded and isolated conductors |
title_full |
Difference between the vacuum Casimir energies for grounded and isolated conductors |
title_fullStr |
Difference between the vacuum Casimir energies for grounded and isolated conductors |
title_full_unstemmed |
Difference between the vacuum Casimir energies for grounded and isolated conductors |
title_sort |
difference between the vacuum casimir energies for grounded and isolated conductors |
publishDate |
2016 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n8_p_Fosco http://hdl.handle.net/20.500.12110/paper_24700010_v94_n8_p_Fosco |
work_keys_str_mv |
AT lombardofernandocesar differencebetweenthevacuumcasimirenergiesforgroundedandisolatedconductors AT mazzitellifranciscodiego differencebetweenthevacuumcasimirenergiesforgroundedandisolatedconductors |
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