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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 Barton
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.

History

Publication status

  • Published

Journal

Journal of Physics A: Mathematical and General

ISSN

1751-8113

Publisher

Institute of Physics

Issue

3

Volume

32

Page range

525-535

ISBN

0305-4470

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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