From multiple scattering to van der Waals interactions: exact results for eccentric cylinders
Mathematical Physics
2008-12-10 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.0811.0128,
title = {From multiple scattering to van der Waals interactions: exact results for eccentric cylinders},
author = {Kimball A. Milton and Prachi Parashar and Jef Wagner},
journal= {arXiv preprint arXiv:0811.0128},
year = {2008}
}
Comments
8 pages, 1 figure, paper written in honor of Iver Brevik on the occasion of his 70th birthday; revision corrects a few typos and updates a reference