Abstract
The Casimir surface force density on a compact material cylinder of radius a is calculated, at zero temperature. A Green function approach is followed. The general theory is formulated so as to hold for arbitrary permittivities ϵ(ω) and permeabilities μ(ω), whereas when it comes to explicit calculations the condition ϵ(ω) μ(ω) = 1 is assumed to hold. A simple dispersion relation is chosen, implying a high frequency cutoff ω 0. The theory yet diverges, at high angular momenta. Divergences of this sort usually appear whenever there are curved boundaries present. On physical grounds an angular momentum cutoff m 0 can be introduced, being of order ω 0 a. A semi-quantitative calculation of the force thereby becomes possible. The calculated force is attractive.
Published Version
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