The covariant electromagnetic Casimir effect for real conducting spherical shells
Abstract
Using the covariant electromagnetic Casimir effect (previously introduced for real conducting cylindrical shells [1]), the Casimir force experienced by a spherical shell, under Dirichlet boundary condition, is calculated. The renormalization procedure is based on the plasma cut-off frequency for real conductors. The real case of a gold (silver) sphere is considered and the corresponding electromagnetic Casimir force is computed. In the covariant approach, there isn't any decomposition of fields to TE and TM modes; thus, we do not need to consider the Neumann boundary condition in parallel to the Dirichlet problem and then add their corresponding results.
Cite
@article{arxiv.1608.08050,
title = {The covariant electromagnetic Casimir effect for real conducting spherical shells},
author = {H. Razmi and M. Abtahi},
journal= {arXiv preprint arXiv:1608.08050},
year = {2016}
}
Comments
12 pages, 1 table, There is an addendum,the Appendix, that has been added to what published in JMP. arXiv admin note: substantial text overlap with arXiv:1308.0007