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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 0.1R, where R is the radius of the cylinder. The developed methods are applicable in the theory of topological defects.
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1 Department of Physics, Federal University of Paraíba, João Pessoa, Pb, Brazil
2 Department of Physics, Federal University of Paraíba, João Pessoa, Pb, Brazil; North-West Technical University, St. Petersburg, Russia
3 Department of Physics, Federal University of Paraíba, João Pessoa, Pb, Brazil; Noncommercial Partnership “Scientific Instruments”, Moscow, Russia
4 Department of Physics, Yerevan State University, Yerevan, Armenia





