English

An exact solution for the Casimir force in a spherically symmetric medium

Quantum Physics 2015-05-28 v1

Abstract

We calculated the force of the quantum vacuum, the Casimir force, in a spherically symmetric medium, Maxwell's fish eye, surrounded by a perfect mirror and derived an exact analytic solution. Our solution questions the idea that the Casimir force of a spherical mirror is repulsive - we found an attractive force that diverges at the mirror.

Keywords

Cite

@article{arxiv.1107.0432,
  title  = {An exact solution for the Casimir force in a spherically symmetric medium},
  author = {Ulf Leonhardt and William M. R. Simpson},
  journal= {arXiv preprint arXiv:1107.0432},
  year   = {2015}
}
R2 v1 2026-06-21T18:31:09.835Z