Electromagnetic Casimir-Polder Interaction for a Conducting Cone
Quantum Physics
2025-05-26 v3
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.
Cite
@article{arxiv.2308.11869,
title = {Electromagnetic Casimir-Polder Interaction for a Conducting Cone},
author = {Noah Graham},
journal= {arXiv preprint arXiv:2308.11869},
year = {2025}
}
Comments
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