Accounting for Dissipation in the Scattering Approach to the Casimir Energy

Romain Guérout, Gert-Ludwig Ingold, Astrid Lambrecht, Serge Reynaud
2018 Symmetry  
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 in an implicit way. We prove that this formula is also valid when the surrounding medium is dissipative.
doi:10.3390/sym10020037 fatcat:bhdk2nmqznefli3ighgi2khidu