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

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.

8 pages, 4 figures, Accepted for publication in Eur. Phys. J. C

References in corpus (7)

• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions
• Van der Waals interaction between a microparticle and a single-wall carbon nanotube
• Electromagnetic Casimir densities induced by a conducting cylindrical shell in the cosmic string spacetime
• Application of the proximity force approximation to gravitational and Yukawa-type forces
• Possibility to measure thermal effects in the Casimir force

Cited by in corpus (5)

• Casimir-Polder interaction for gently curved surfaces
• Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries
• Effect of Curvature and Confinement on the Casimir-Polder Interaction
• Interplay of curvature and temperature in the Casimir-Polder interaction
• Complex orientation dependence of Casimir-Polder interaction induced by curvature and optical properties of the surface and the surrounding medium