Casimir Forces: An Exact Approach for Periodically Deformed Objects
Statistical Mechanics
2010-12-17 v1 High Energy Physics - Theory
Quantum Physics
Abstract
A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond Casimir's original two-plate configuration. The approach takes into account the collective nature of fluctuation induced forces, going beyond the commonly used pairwise summation of two-body van der Waals forces. As an application of the method, we exactly calculate the Casimir force due to scalar field fluctuations between a flat and a rectangular corrugated plate. In the latter case, the force is found to be always attractive.
Cite
@article{arxiv.cond-mat/0206585,
title = {Casimir Forces: An Exact Approach for Periodically Deformed Objects},
author = {Thorsten Emig},
journal= {arXiv preprint arXiv:cond-mat/0206585},
year = {2010}
}
Comments
4 pages, 3 figures