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arXiv · hep-th/0412263

The Casimir Energy for a Hyperboloid Facing a Plate in the Optical Approximation

O. Schroeder·A. Scardicchio·R. L. Jaffe
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Abstract

We study the Casimir energy of a massless scalar field that obeys Dirichlet boundary conditions on a hyperboloid facing a plate. We use the optical approximation including the first six reflections and compare the results with the predictions of the proximity force approximation and the semi-classical method. We also consider finite size effects by contrasting the infinite with a finite plate. We find sizable and qualitative differences between the new optical method and the more traditional approaches.

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O. Schroeder, A. Scardicchio, R. L. Jaffe. 2005-07-21. The Casimir Energy for a Hyperboloid Facing a Plate in the Optical Approximation. https://doi.org/10.1103/physreva.72.012105

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