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Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors
R Guérout1, A Lambrecht1, K A Milton2
1Laboratoire Kastler Brossel, CNRS, ENS, UPMC, Case 74, F-75252 Paris, France.
Abstract:
We examine the conditions of validity for the Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic plane mirrors. As in the previously studied case of nonmagnetic materials [Guérout et al., Phys. Rev. E 90, 042125 (2014)], we recover the usual expression for the lossy model of optical response, but not for the lossless plasma model. We also show that the modes associated with the Foucault currents play a crucial role in the limit of vanishing losses, in contrast to expectations.
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