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

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.

References in corpus (3)

• On the vacuum energy of a spherical plasma shell
• Reply to the Comment on Perfect imaging with positive refraction in three dimensions
• Perfect imaging: they don't do it with mirrors

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