Casimir Energy for a Dielectric Cylinder
arXiv:hep-th/0412135 · doi:10.1016/j.aop.2005.05.007
Abstract
In this paper we calculate the Casimir energy for a dielectric-diamagnetic cylinder with the speed of light differing on the inside and outside. Although the result is in general divergent, special cases are meaningful. The well-known results for a uniform speed of light are reproduced. The self-stress on a purely dielectric cylinder is shown to vanish through second order in the deviation of the permittivity from its vacuum value, in agreement with the result calculated from the sum of van der Waals forces.These results are unambiguously separated from divergent terms.
arXiv comment31 pages, no figures, uses elsart.cls Revised version includes detailed discussion of divergent terms, and new derivation of result. New references added
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