Perturbative check on the Casimir energies of nondispersive dielectric spheres

Barton, Gabriel (1999) Perturbative check on the Casimir energies of nondispersive dielectric spheres. Journal of Physics A: Mathematical and General, 32 (3). pp. 525-535. ISSN 1751-8113

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Abstract

For an optically dilute solid sphere of radius a and dielectric constant independent of frequency, the Casimir energy is evaluated to second order in , subject to an exponential cut-off on wavenumbers, using only standard perturbation theory and elementary mathematics. It is hoped that this can serve to elucidate other far more elaborate methods that aim to determine exactly by summing zero-point energies. For the electromagnetic field, the perturbative result reads

http://ej.iop.org/images/0305-4470/32/3/008/img6.gif

with V the volume and S the surface area. The term of order is related in a simple way to the Casimir-Polder (retarded) potential between polarizable bodies. This relation also yields some insight into the net pressure on a thin spherical shell.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics
Depositing User: EPrints Services
Date Deposited: 06 Feb 2012 19:43
Last Modified: 19 Jul 2012 09:01
URI: http://sro.sussex.ac.uk/id/eprint/21949
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