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Published January 10, 2006 | public
Journal Article Open

Opposites Attract: A Theorem about the Casimir Force

Abstract

We consider the Casimir interaction between (nonmagnetic) 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.

Additional Information

©2006 The American Physical Society (Received 10 January 2006; published 18 October 2006) I. K. would like to thank L. S. Levitov, R. L. Jaffe, and A. Scaricchio for discussions. O. K. is supported by the ISF.

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