Phys. Rev. Lett. 97, 160401 (2006) [4 pages]Opposites Attract: A Theorem about the Casimir ForceReceived 10 January 2006; published 18 October 2006 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. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.160401
DOI:
10.1103/PhysRevLett.97.160401
PACS:
12.20.−m, 03.65.−w, 03.70.+k
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