Casimir force for a sphere in front of a plane beyond Proximity Force Approximation

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.

11 pages

References in corpus (5)

• Casimir forces between arbitrary compact objects
• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Worldline algorithms for Casimir configurations
• Stronger constraints on non-Newtonian gravity from the Casimir effect
• Worldline Approach To The Casimir Effect

Cited by in corpus (11)

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• Application of the proximity force approximation to gravitational and Yukawa-type forces
• Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals Limit
• Mode summation approach to Casimir effect between two objects
• Casimir potential of a compact object enclosed by a spherical cavity
• Divergences in the vacuum energy for frequency-dependent interactions
• Ferminoic Casimir effect between spheres
• Casimir interaction of concentric spheres at finite temperature
• The vacuum energy for two cylinders one of which becoming large