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Exact zero-point interaction energy between cylinders

F. D. Mazzitelli·D. A. R. Dalvit·F. C. Lombardo
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Abstract

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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F. D. Mazzitelli, D. A. R. Dalvit, F. C. Lombardo. 2006-10-20. Exact zero-point interaction energy between cylinders. https://doi.org/10.1088/1367-2630%2F8%2F10%2F240

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