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arXiv · 1103.3922

Exact Casimir-Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation

V. B. Bezerra·E. R. Bezerra de Mello·G. L. Klimchitskaya·V. M. Mostepanenko·A. A. Saharian
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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$R$, where $R$ is the radius of the cylinder. The developed methods are applicable in the theory of topological defects.

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V. B. Bezerra, E. R. Bezerra de Mello, G. L. Klimchitskaya, V. M. Mostepanenko, A. A. Saharian. 2011-03-21. Exact Casimir-Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation. https://doi.org/10.1140/epjc%2Fs10052-011-1614-5

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