Exact Casimir-Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation
High Energy Physics - Theory
2011-04-20 v1 Quantum Physics
Abstract
We derive the exact Casimir-Polder potential for a polarizable microparticle inside an ideal metal cylindrical shell using the Green function method. The exact Casimir-Polder potential for a particle outside a shell, obtained recently by using the Hamiltonian approach, is rederived and confirmed. The exact quantum field theoretical result is compared with that obtained using the proximity force approximation and a very good agreement is demonstrated at separations below 0.1, where is the radius of the cylinder. The developed methods are applicable in the theory of topological defects.
Keywords
Cite
@article{arxiv.1103.3922,
title = {Exact Casimir-Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation},
author = {V. B. Bezerra and E. R. Bezerra de Mello and G. L. Klimchitskaya and V. M. Mostepanenko and A. A. Saharian},
journal= {arXiv preprint arXiv:1103.3922},
year = {2011}
}
Comments
8 pages, 4 figures, Accepted for publication in Eur. Phys. J. C