Scalar Casimir Energies for Separable Coordinate Systems: Application to Semi-transparent Planes in an Annulus

J. Wagner, K. A. Milton, K. Kirsten

Published 2009-12-11Version 1

We derive a simplified general expression for the two-body scalar Casimir energy in generalized separable coordinate systems. We apply this technique to the case of radial semi-transparent planes in the annular region between two concentric Dirichlet cylinders. This situation is explored both analytically and numerically.