Casimir energy and realistic model of dilute dielectric ball

Abstract

The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at zero temperature is derived analytically for the first time for an arbitrary physically possible frequency dispersion of dielectric permittivity $\epsilon (i\omega )$. A microscopic model of dielectrics is considered, divergences are absent in calculations because an average interatomic distance $\lambda$ is a {\it physical} cut-off in the theory. This fact has been overlooked before, which led to divergences in various macroscopic approaches to the Casimir energy of connected dielectrics.

12 pages, 1 figure, latex 2e, journal version

References in corpus (1)

• Divergencies in the Casimir energy for a medium with realistic ultraviolet behavior

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