Accounting for Dissipation in the Scattering Approach to the Casimir Energy

We take dissipation into account in the derivation of the Casimir energy formula between two objects placed in a surrounding medium. The dissipation channels are considered explicitly in order to take advantage of the unitarity of the full scattering processes. We demonstrate that the Casimir energy...

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Main Authors: Romain Guérout, Gert-Ludwig Ingold, Astrid Lambrecht, Serge Reynaud
Format: Article
Language:English
Published: MDPI AG 2018-01-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/10/2/37
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author Romain Guérout
Gert-Ludwig Ingold
Astrid Lambrecht
Serge Reynaud
author_facet Romain Guérout
Gert-Ludwig Ingold
Astrid Lambrecht
Serge Reynaud
author_sort Romain Guérout
collection DOAJ
description We take dissipation into account in the derivation of the Casimir energy formula between two objects placed in a surrounding medium. The dissipation channels are considered explicitly in order to take advantage of the unitarity of the full scattering processes. We demonstrate that the Casimir energy is given by a scattering formula expressed in terms of the scattering amplitudes coupling internal channels and taking dissipation into account implicitly. We prove that this formula is also valid when the surrounding medium is dissipative.
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spelling doaj.art-ebac50ebe61841b78c97318dd9fa882c2022-12-22T04:19:46ZengMDPI AGSymmetry2073-89942018-01-011023710.3390/sym10020037sym10020037Accounting for Dissipation in the Scattering Approach to the Casimir EnergyRomain Guérout0Gert-Ludwig Ingold1Astrid Lambrecht2Serge Reynaud3Laboratoire Kastler Brossel (LKB), UPMC-Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, F-75252 Paris, FranceInstitut für Physik, Universität Augsburg, D-86135 Augsburg, GermanyLaboratoire Kastler Brossel (LKB), UPMC-Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, F-75252 Paris, FranceLaboratoire Kastler Brossel (LKB), UPMC-Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, F-75252 Paris, FranceWe take dissipation into account in the derivation of the Casimir energy formula between two objects placed in a surrounding medium. The dissipation channels are considered explicitly in order to take advantage of the unitarity of the full scattering processes. We demonstrate that the Casimir energy is given by a scattering formula expressed in terms of the scattering amplitudes coupling internal channels and taking dissipation into account implicitly. We prove that this formula is also valid when the surrounding medium is dissipative.http://www.mdpi.com/2073-8994/10/2/37Casimir effectscattering theorydissipation
spellingShingle Romain Guérout
Gert-Ludwig Ingold
Astrid Lambrecht
Serge Reynaud
Accounting for Dissipation in the Scattering Approach to the Casimir Energy
Symmetry
Casimir effect
scattering theory
dissipation
title Accounting for Dissipation in the Scattering Approach to the Casimir Energy
title_full Accounting for Dissipation in the Scattering Approach to the Casimir Energy
title_fullStr Accounting for Dissipation in the Scattering Approach to the Casimir Energy
title_full_unstemmed Accounting for Dissipation in the Scattering Approach to the Casimir Energy
title_short Accounting for Dissipation in the Scattering Approach to the Casimir Energy
title_sort accounting for dissipation in the scattering approach to the casimir energy
topic Casimir effect
scattering theory
dissipation
url http://www.mdpi.com/2073-8994/10/2/37
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AT sergereynaud accountingfordissipationinthescatteringapproachtothecasimirenergy