1999/01/25 by Iver Brevik, Valery N. Marachevsky, Valery Marachevsky · 2 citations
Physics and Astronomy · #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.1103/physrevd.60.085006
published as Phys.Rev.D60:085006,1999 · 24 pages, latex, no figures, some additions to the Acknowledments section
arxiv created 1999/01/25 · openalex publication_date 1999/09/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Casimir surface force density F on a dielectric dilute spherical ball of radius a, surrounded by a vacuum, is calculated at zero temperature. We treat (n\ensuremath-1)(n being the refractive index) as a small parameter. The dispersive properties of the material are taken into account by adopting a simple model for the dispersion relation, involving a sharp high frequency cutoff at \ensuremathω=\ensuremathω0. For a nondispersive medium there appears (after regularization) a finite, physical force Fnondisp which is repulsive. By means of a uniform asymptotic expansion of the Riccati-Bessel functions we calculate Fnondisp up to the fourth order in 1/\ensuremathν. For a dispersive medium the main part of the force Fdisp is also repulsive. The dominant term in Fdisp is proportional to (n\ensuremath-1)2\ensuremathω03/a, and will under usual physical conditions outweigh Fnondisp by several orders of magnitude.