Regularized Casimir energy for an infinite dielectric cylinder subject to light-velocity conservation

Abstract

The Casimir energy of a dilute dielectric cylinder, with the same light-velocity as in its surrounding medium, is evaluated exactly to first order in ${\xi }^2$ and numerically to higher orders in ${\xi }^2$. The first part is carried out using addition formulas for Bessel functions, and no Debye expansions are required.

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• The field theory of symmetrical layered electrolytic systems and the thermal Casimir effect