Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles

Details Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles

1996-05-03

arxiv.org/abs/hep-th/9605022v1

Annals Phys. 250 (1996) 448-484

Physics

High Energy Physics

High Energy Physics - Theory

accepted in Ann. Phys

Scientific paper

10.1006/aphy.1996.0101

A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously used from the start and the properties of Bessel and related zeta functions are central. Nontrivial results concerning these functions are given. While part of their application agrees with previous knowledge, new results like the zeta-regularized electromagnetic Casimir energy for a circular wire are included.

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