Casimir force for a sphere in front of a plane beyond proximity force approximation

2008/02/25 by M. Bordag, V. Nikolaev, V Nikolaev · 3 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1088/1751-8113/41/16/164002

published as J.Phys.A41:164002,2008 · 11 pages

arxiv created 2008/02/25 · openalex publication_date 2008/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

For the configuration of a sphere in front of a plane, we calculate the first two terms of the asymptotic expansion for small separation of the Casimir force. We consider both Dirichlet and Neumann boundary conditions.

Citations

• Worldline Approach To The Casimir Effect
• Scalar Casimir effect between Dirichlet spheres or a plate and a sphere
• Worldline algorithms for Casimir configurations

Cited by

• Casimir Interaction between Plane and Spherical Metallic Surfaces
• On the use of the proximity force approximation for deriving limits to short-range gravitational-like interactions from sphere-plane Casimir force experiments
• Exact Results for Casimir Interactions between Dielectric Bodies: The Weak-Coupling or van der Waals Limit