Exact solution for the Casimir stress in a spherically symmetric medium

Leonhardt, Ulf; Simpson, William M. R.

Abstract

We calculated the stress of the quantum vacuum, the Casimir stress, 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 stress in the medium that diverges at the mirror.

Citation

Leonhardt, U., & Simpson, W. M. R. (2011). Exact solution for the Casimir stress in a spherically symmetric medium. Physical Review D, 84(8), Article 081701(R). https://doi.org/10.1103/physrevd.84.081701

• Journal Article Type: Article
• Online Publication Date: Oct 11, 2011
• Publication Date: Oct 15, 2011
• Deposit Date: May 18, 2024
• Journal: Physical Review D
• Print ISSN: 1550-7998
• Electronic ISSN: 1550-2368
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 84
• Issue: 8
• Article Number: 081701(R)
• DOI: https://doi.org/10.1103/physrevd.84.081701
• Public URL: https://durham-repository.worktribe.com/output/2453565