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Casimir interaction between two concentric cylinders: exact versus semiclassical results

Francisco D. Mazzitelli·María J. Sánchez·Norberto N. Scoccola·Javier von Stecher
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Abstract

The Casimir interaction between two perfectly conducting, infinite, concentric cylinders is computed using a semiclassical approximation that takes into account families of classical periodic orbits that reflect off both cylinders. It is then compared with the exact result obtained by the mode-by-mode summation technique. We analyze the validity of the semiclassical approximation and show that it improves the results obtained through the proximity theorem.

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Francisco D. Mazzitelli, María J. Sánchez, Norberto N. Scoccola, Javier von Stecher. 2002-09-16. Casimir interaction between two concentric cylinders: exact versus semiclassical results. https://doi.org/10.1103/physreva.67.013807

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