Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors

We calculate the Casimir interaction energy in d=2 spatial dimensions between two (zero-width) mirrors - one flat and the other slightly curved - upon which imperfect conductor boundary conditions are imposed for an electromagnetic (EM) field. Our main result is a second-order derivative expansion (...

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Autores principales: Lombardo, Fernando César, Mazzitelli, Francisco Diego
Publicado: 2015
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v91_n10_p_Fosco
http://hdl.handle.net/20.500.12110/paper_15507998_v91_n10_p_Fosco
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15507998_v91_n10_p_Fosco
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spelling paper:paper_15507998_v91_n10_p_Fosco2023-06-08T16:22:50Z Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors Lombardo, Fernando César Mazzitelli, Francisco Diego We calculate the Casimir interaction energy in d=2 spatial dimensions between two (zero-width) mirrors - one flat and the other slightly curved - upon which imperfect conductor boundary conditions are imposed for an electromagnetic (EM) field. Our main result is a second-order derivative expansion (DE) approximation for the Casimir energy, which is studied in different interesting limits. In particular, we focus on the emergence of a nonanalyticity beyond the leading-order term in the DE, when approaching the limit of perfectly conducting mirrors. We also show that the system considered is equivalent to a dual one, consisting of a massless real scalar field satisfying imperfect Neumann conditions (on the very same boundaries). Therefore, the results obtained for the EM field hold true also for the scalar field model. © 2015 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. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v91_n10_p_Fosco http://hdl.handle.net/20.500.12110/paper_15507998_v91_n10_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 calculate the Casimir interaction energy in d=2 spatial dimensions between two (zero-width) mirrors - one flat and the other slightly curved - upon which imperfect conductor boundary conditions are imposed for an electromagnetic (EM) field. Our main result is a second-order derivative expansion (DE) approximation for the Casimir energy, which is studied in different interesting limits. In particular, we focus on the emergence of a nonanalyticity beyond the leading-order term in the DE, when approaching the limit of perfectly conducting mirrors. We also show that the system considered is equivalent to a dual one, consisting of a massless real scalar field satisfying imperfect Neumann conditions (on the very same boundaries). Therefore, the results obtained for the EM field hold true also for the scalar field model. © 2015 American Physical Society.
author Lombardo, Fernando César
Mazzitelli, Francisco Diego
spellingShingle Lombardo, Fernando César
Mazzitelli, Francisco Diego
Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors
author_facet Lombardo, Fernando César
Mazzitelli, Francisco Diego
author_sort Lombardo, Fernando César
title Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors
title_short Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors
title_full Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors
title_fullStr Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors
title_full_unstemmed Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors
title_sort derivative expansion for the electromagnetic and neumann-casimir effects in 2+1 dimensions with imperfect mirrors
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v91_n10_p_Fosco
http://hdl.handle.net/20.500.12110/paper_15507998_v91_n10_p_Fosco
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AT mazzitellifranciscodiego derivativeexpansionfortheelectromagneticandneumanncasimireffectsin21dimensionswithimperfectmirrors
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