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arXiv · 1508.01659

The Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors

R. Guerout·A. Lambrecht·K. A. Milton·S. Reynaud
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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 non-magnetic materials (Guerout et al, Phys. Rev. E 90 042125), 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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R. Guerout, A. Lambrecht, K. A. Milton, S. Reynaud. 2015-11-05. The Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors. https://doi.org/10.1103/physreve.93.022108

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