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arxiv: 0912.2374 · v1 · pith:JTSMP5NLnew · submitted 2009-12-11 · ✦ hep-th · math-ph· math.MP· quant-ph

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

classification ✦ hep-th math-phmath.MPquant-ph
keywords casimircoordinateplanesscalarsemi-transparentseparablesystemsanalytically
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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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