Casimir interaction between two concentric cylinders: exact versus semiclassical results

Details Casimir interaction between two concentric cylinders: exact versus semiclassical results Casimir interaction between two concentric cylinders: exact versus semiclassical results

2002-09-16

arxiv.org/abs/quant-ph/0209097v1

Phys.Rev.A67:013807,2003

Physics

Quantum Physics

28 pages, 5 figures included

Scientific paper

10.1103/PhysRevA.67.013807

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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