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Perturbative check on the Casimir energies of nondispersive dielectric spheres
journal contribution
posted on 2023-06-07, 23:51 authored by Gabriel BartonFor 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.
History
Publication status
- Published
Journal
Journal of Physics A: Mathematical and GeneralISSN
1751-8113Publisher
Institute of PhysicsExternal DOI
Issue
3Volume
32Page range
525-535ISBN
0305-4470Department affiliated with
- Physics and Astronomy Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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