Weak Coupling Casimir Energies for Finite Plate Configurations

Abstract

We derive and use an extremely simplified formula for the interaction Casimir energy for two separate bodies in the weak coupling regime for massless scalar fields. We derive closed form solutions for a general arrangement of two $\delta$-function plates finite in one direction and infinite in another. We examine the situation of two parallel plates finite in both transverse directions.

10pages 6 figures

References in corpus (4)

• Casimir Forces between Compact Objects: I. The Scalar Case
• Multiple Scattering Methods in Casimir Calculations
• Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation
• Casimir forces between arbitrary compact objects: Scalar and electromagnetic field