Complete zeta-function approach to the electromagnetic Casimir effect for a sphere
Department ECM and IFAE, Faculty
of Physics, University of Barcelona, Diagonal 647, 08028 Barcelona, Spain
2 Blanes Centre for Advanced Studies (CEAB), CSIC, Camí de Santa Bàrbara - 17300 Blanes, Spain
Accepted: 26 February 1996
A technique for calculating the Casimir effect in the presence of spherical surfaces is presented. Unlike in earlier works, zeta-function regularization is used from the start and the properties of Bessel and related zeta-functions are central. New results concerning these functions are given and our examples of application fully agree with previous knowledge.
PACS: 02.30.Gp – Special functions / 11.15.-q – Gauge field theories / 12.20.-m – Quantum electrodynamics
© EDP Sciences, 1996