From multiple scattering to van der Waals interactions: exact results for eccentric cylinders

Details From multiple scattering to van der Waals interactions: exact results for eccentric cylinders From multiple scattering to van der Waals interactions: exact results for eccentric cylinders

2008-11-02

arxiv.org/abs/0811.0128v2

Physics

Mathematical Physics

8 pages, 1 figure, paper written in honor of Iver Brevik on the occasion of his 70th birthday; revision corrects a few typos a

Scientific paper

In this paper, dedicated to the career of Iver Brevik, we review the derivation of the retarded van der Waals or Casimir-Polder interaction between polarizable molecules from the general multiple scattering formulation of Casimir interactions between bodies. We then apply this van der Waals potential to examine the interaction between tenuous cylindrical bodies, including eccentric cylinders, and revisit the vanishing self-energy of a tenuous dielectric cylinder. In each case, closed-form expressions are obtained.

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