Casimir energy and dilute dielectric ball

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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latex 2e, 15 pages, 3 figures

Scientific paper

10.1238/Physica.Regular.064a0020

General formalism of quantum field theory and addition theorem for Bessel functions are applied to derive formula for Casimir-Polder energy of interaction between a polarizable particle and a dilute dielectric ball. The equivalence of dipole-dipole interaction and Casimir energy for dilute homogeneous dielectrics is shown. A novel method is used to derive Casimir energy of a dilute dielectric ball without divergences in calculations. Physically realistic model of a dilute ball is discussed. Different approaches to the calculation of Casimir energy of a dielectric ball are reviewed.

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