0 Casimir - Polder energy and dilute dielectric ball : nondispersive case

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. PACS numbers: 03.70.+k, 11.10.Gh, 12.20.-m, 12.20.Ds, 42.50.Lc E-mail: [email protected]