Casimir-Polder energy and dilute dielectric ball : nondispersive case
Abstract
Description
We apply general formalism of quantum field theory and addition theorem for Bessel functions to derive formula for the Casimir-Polder energy of interaction between a polarizable particle and a dilute dielectric ball and Casimir energy of a dilute dielectric ball. The correspondence between the Casimir-Polder formula and Casimir energy of a dilute dielectric ball is shown. Different approaches to the problem of Casimir energy of a dielectric ball are reviewed and analysed by use of addition theorem for Bessel functions.
9 pages, no figures, Latex 2e, different approaches are reviewed and analysed in the Conclusions section ; explanations are added
9 pages, no figures, Latex 2e, different approaches are reviewed and analysed in the Conclusions section ; explanations are added