Derivation of the Lifshitz-Matsubara sum formula for the Casimir pressure between metallic plane mirrors.

We carefully reexamine the conditions of validity for the consistent derivation of the Lifshitz-Matsubara sum formula for the Casimir pressure between metallic plane mirrors. We recover the usual expression for the lossy Drude model but not for the lossless plasma model. We give an interpretation of this new result in terms of the modes associated with the Foucault currents, which play a role in the limit of vanishing losses, in contrast to common expectations.

• Publication year

  2014

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2014-04-30

• Fields of study

  Medicine, Physics, Mathematics

• Identifiers
  DOI 10.1103/PhysRevE.90.042125arXiv 1404.7633PMID 25375456
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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