Casimir's energy of a conducting sphere and of a dilute dielectric ball

Details Casimir's energy of a conducting sphere and of a dilute dielectric ball Casimir's energy of a conducting sphere and of a dilute dielectric ball

1999-08-15

arxiv.org/abs/hep-th/9908101v3

Phys.Rev. D61 (2000) 025004

Physics

High Energy Physics

High Energy Physics - Theory

references added; typos fixed

Scientific paper

10.1103/PhysRevD.61.025004

In this paper we sum over the spherical modes appearing in the expression for the Casimir energy of a conducting sphere and of a dielectric ball (assuming the same speed of light inside and outside), before doing the frequency integration. We derive closed integral expressions that allow the calculations to be done to all orders, without the use of regularization procedures. The technique of mode summation using a contour integral is critically examined.

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