Casimir interaction between two concentric cylinders: exact versus semiclassical results
Quantum Physics
2008-11-26 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.quant-ph/0209097,
title = {Casimir interaction between two concentric cylinders: exact versus semiclassical results},
author = {Francisco D. Mazzitelli and María J. Sánchez and Norberto N. Scoccola and Javier von Stecher},
journal= {arXiv preprint arXiv:quant-ph/0209097},
year = {2008}
}
Comments
28 pages, 5 figures included