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Opposites Attract - A Theorem About The Casimir Force

Oded Kenneth·Israel Klich
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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.

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Oded Kenneth, Israel Klich. 2006-10-19. Opposites Attract - A Theorem About The Casimir Force. https://doi.org/10.1103/physrevlett.97.160401

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