Exact zero-point interaction energy between cylinders

Details Exact zero-point interaction energy between cylinders Exact zero-point interaction energy between cylinders

2006-10-20

arxiv.org/abs/quant-ph/0610181v1

New J.Phys.8:240,2006

Physics

Quantum Physics

20 pages, 7 figures

Scientific paper

10.1088/1367-2630/8/10/240

We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numerically. These include concentric cylinders, cylinder-plane, and eccentric cylinders, for small and large separations between the surfaces. For small separations we recover the proximity approximation, while for large separations we find a weak logarithmic decay of the Casimir interaction energy, typical of cylindrical geometries.

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