Electromagnetic Casimir-Polder Interaction for a Conducting Cone

Abstract

Using the formulation of the electromagnetic Green's function of a perfectly conducting cone in terms of analytically continued angular momentum, we compute the Casimir-Polder interaction energy of the cone with a polarizable particle. We introduce this formalism by first reviewing the analogous approach for a perfectly conducting wedge, and then demonstrate the calculation through numerical evaluation of the resulting integrals.

8 pages, 3 .eps figures; v2: fixed typos and formatting, added clarifications, references, and new section on anisotropic dipole; version to appear in "75 Years of the Casimir Effect" special issue; v3: correct grant number