Kramers-Kronig relations for plasma-like permittivities and the Casimir force

Abstract

The Kramers-Kronig relations are derived for the permittivity of the usual plasma model which neglects dissipation and of a generalized model which takes into account the interband transitions. The generalized plasma model is shown to be consistent with all precision experiments on the measurement of the Casimir force.

9 pages, 2 figures, 1 table; to appear in J. Phys. A: Math. Theor. (fast track communication)

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• New constraints on Yukawa-type interactions from the Casimir effect
• Comparison of the experimental data for the Casimir pressure with the Lifshitz theory at zero temperature
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• Comment on "Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors"
• Observation of the Thermal Casimir Force is Open to Question
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