1999/09/29 by Valery N. Marachevsky, Marachevsky, Valery N.
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9909210
9 pages, no figures, Latex 2e, different approaches are reviewed and analysed in the Conclusions section ; explanations are added
openalex publication_date 1999/09/29 · arxiv created 2000/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.