Opposites Attract - A Theorem About The Casimir Force
Quantum Physics
2009-11-13 v2 Soft Condensed Matter
Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We consider the Casimir interaction between (non-magnetic) dielectric bodies or conductors. Our main result is a proof that the Casimir force between two bodies related by reflection is always attractive, independent of the exact form of the bodies or dielectric properties. Apart from being a fundamental property of fields, the theorem and its corollaries also rule out a class of suggestions to obtain repulsive forces, such as the two hemisphere repulsion suggestion and its relatives.
Keywords
Cite
@article{arxiv.quant-ph/0601011,
title = {Opposites Attract - A Theorem About The Casimir Force},
author = {Oded Kenneth and Israel Klich},
journal= {arXiv preprint arXiv:quant-ph/0601011},
year = {2009}
}
Comments
Final version, published in Phys. Rev. Lett