Phys. Rev. A 67, 013807 (2003) [11 pages]Casimir interaction between two concentric cylinders: Exact versus semiclassical resultsReceived 16 September 2002; published 23 January 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.013807
DOI:
10.1103/PhysRevA.67.013807
PACS:
42.50.Lc, 42.50.Dv, 12.20.-m
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