Lifshitz formula for the Casimir force and the GelfandYaglom theorem
We provide a quantum field theory derivation of the Lifshitz formula for the Casimir force due to a fluctuating real scalar field in d + 1 dimensions. The field is coupled to two imperfect, thick, plane mirrors, which are modeled by background potentials localized on their positions. The derivation...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_17518113_v44_n46_p_Ttira |
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todo:paper_17518113_v44_n46_p_Ttira2023-10-03T16:32:23Z Lifshitz formula for the Casimir force and the GelfandYaglom theorem Ttira, C.C. Fosco, C.D. Mazzitelli, F.D. We provide a quantum field theory derivation of the Lifshitz formula for the Casimir force due to a fluctuating real scalar field in d + 1 dimensions. The field is coupled to two imperfect, thick, plane mirrors, which are modeled by background potentials localized on their positions. The derivation proceeds from the calculation of the vacuum energy in the Euclidean version of the system, reducing the problem to the evaluation of a functional determinant. The latter is written, via Gelfand-Yagloms formula, in terms of functions depending on the structure of the potential describing each mirror; those functions encode the properties which are relevant to the Casimir force and are the reflection coefficients evaluated at imaginary frequencies. © 2011 IOP Publishing Ltd. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_17518113_v44_n46_p_Ttira |
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 provide a quantum field theory derivation of the Lifshitz formula for the Casimir force due to a fluctuating real scalar field in d + 1 dimensions. The field is coupled to two imperfect, thick, plane mirrors, which are modeled by background potentials localized on their positions. The derivation proceeds from the calculation of the vacuum energy in the Euclidean version of the system, reducing the problem to the evaluation of a functional determinant. The latter is written, via Gelfand-Yagloms formula, in terms of functions depending on the structure of the potential describing each mirror; those functions encode the properties which are relevant to the Casimir force and are the reflection coefficients evaluated at imaginary frequencies. © 2011 IOP Publishing Ltd. |
format |
JOUR |
author |
Ttira, C.C. Fosco, C.D. Mazzitelli, F.D. |
spellingShingle |
Ttira, C.C. Fosco, C.D. Mazzitelli, F.D. Lifshitz formula for the Casimir force and the GelfandYaglom theorem |
author_facet |
Ttira, C.C. Fosco, C.D. Mazzitelli, F.D. |
author_sort |
Ttira, C.C. |
title |
Lifshitz formula for the Casimir force and the GelfandYaglom theorem |
title_short |
Lifshitz formula for the Casimir force and the GelfandYaglom theorem |
title_full |
Lifshitz formula for the Casimir force and the GelfandYaglom theorem |
title_fullStr |
Lifshitz formula for the Casimir force and the GelfandYaglom theorem |
title_full_unstemmed |
Lifshitz formula for the Casimir force and the GelfandYaglom theorem |
title_sort |
lifshitz formula for the casimir force and the gelfandyaglom theorem |
url |
http://hdl.handle.net/20.500.12110/paper_17518113_v44_n46_p_Ttira |
work_keys_str_mv |
AT ttiracc lifshitzformulaforthecasimirforceandthegelfandyaglomtheorem AT foscocd lifshitzformulaforthecasimirforceandthegelfandyaglomtheorem AT mazzitellifd lifshitzformulaforthecasimirforceandthegelfandyaglomtheorem |
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1782027351829250048 |