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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, 5 figures. Contribution to Proceedings of 9th Conference on Quantum Field Theory Under the Influence of External Cond

Scientific paper

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.

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