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 (18)

• The Casimir force between real materials: experiment and theory
• Casimir interaction between a plate and a cylinder
• Dispersion forces in macroscopic quantum electrodynamics
• Casimir interaction between a perfect conductor and graphene described by the Dirac model
• 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
• Dependences of the van der Waals atom-wall interaction on atomic and material properties
• 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
• Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes
• Fermionic Casimir densities in toroidally compactified spacetimes with applications to nanotubes
• Application of the proximity force approximation to gravitational and Yukawa-type forces
• Comparison of the hydrodynamic and Dirac models of the dispersion interaction between graphene and H, He${}^{\ast }$, or Na atoms
• Retarded Casimir-Polder force on an atom near reflecting microstructures
• On the validity of constraints on light elementary particles and extra-dimensional physics from the Casimir effect
• Casimir-Polder potential and transition rate in resonating cylindrical cavities
• Possibility to measure thermal effects in the Casimir force

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• Repulsive Casimir-Polder forces from cosmic strings
• Casimir-Polder interaction for gently curved surfaces
• Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries
• Casimir--Polder force between anisotropic nanoparticles and gently curved surfaces
• Casimir-Polder potential for a metallic cylinder in cosmic string spacetime
• The Casimir force between a microfabricated elliptic cylinder and a plate
• Effect of Curvature and Confinement on the Casimir-Polder Interaction
• Electromagnetic Casimir densities for a cylindrical shell on de Sitter space
• Material Dependence of the Wire-Particle Casimir Interaction
• Casimir interaction between two concentric cylinders at nonzero temperature
• Interplay of curvature and temperature in the Casimir-Polder interaction
• Interaction of atomic quantum gases with a single carbon nanotube
• Dispersion Interaction of Atoms with Single-Walled Carbon Nanotubes described by the Dirac Model
• Complex orientation dependence of Casimir-Polder interaction induced by curvature and optical properties of the surface and the surrounding medium