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