Casimir energy and dilute dielectric ball

Abstract

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.

latex 2e, 15 pages, 3 figures

References in corpus (5)

• On the ground state energy for a penetrable sphere and for a dielectric ball
• Identity of the van der Waals Force and the Casimir Effect and the Irrelevance of these Phenomena to Sonoluminescence
• Casimir's energy of a conducting sphere and of a dilute dielectric ball
• Casimir Surface Force on a Dilute Dielectric Ball
• The Casimir Problem of Spherical Dielectrics: A Solution in Terms of Quantum Statistical Mechanics

Cited by in corpus (16)

• Scalar Casimir effect for D-dimensional spherically symmetric Robin boundaries
• Heat kernel Coefficients and Divergencies of the Casimir Energy for the Dispersive Sphere
• The heat kernel coefficients for the dielectric cylinder
• Casimir-Polder effect for a plane with Chern-Simons interaction
• Vacuum Stress and Closed Paths in Rectangles, Pistons, and Pistols
• Casimir Piston of Real Materials and its Application to Multi-Layer Models
• Casimir energy and realistic model of dilute dielectric ball
• Casimir potential of a compact object enclosed by a spherical cavity
• Casimir Energy for concentric $\delta$-${\delta }^{\prime }$ spheres
• A thick shell Casimir effect
• A microscopic approach to Casimir and Casimir-Polder forces between metallic bodies
• Casimir Self-Entropy of Nanoparticles with Classical Polarizabilities: Electromagnetic Field Fluctuations
• Casimir self-energy of a δ-δ' sphere
• Repulsive Casimir-Lifshitz pressure in closed cavities
• Casimir energy of a dilute dispersive dielectric ball: realistic microscopic model
• Casimir-Lifshitz pressure on cavity walls