Casimir interaction between cylinders

Details Casimir interaction between cylinders Casimir interaction between cylinders

2004-06-16

arxiv.org/abs/quant-ph/0406116v1

Proceedings of the 6th Workshop on Quantum Field Theory Under the Influence of External Conditions, K. Milton editor, Paramus,

Physics

Quantum Physics

7 pages, LateX, uses Rinton-P9x6.cls

Scientific paper

We compute the Casimir interaction energy between two perfectly conducting, concentric cylinders, using the mode-by-mode summation technique. Then we compare it with the approximate results obtained using the proximity theorem and a semiclassical approximation based on classical periodic orbits. We show that the proximity theorem with a particular choice for the effective area coincides with the semiclassical approximation and reproduces the exact result far beyond its expected range of validity. We also compute the force between slightly eccentric cylinders and discuss the advantages of using a cylindrical geometry to measure the Casimir force.

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