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Phys. Rev. Lett. 97, 160401 (2006) [4 pages]

Opposites Attract: A Theorem about the Casimir Force

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Oded Kenneth1 and Israel Klich2,*
1Department of Physics, Technion, Haifa 32000 Israel
2Department of Physics, California Institute of Technology, MC 114-36 Pasadena, California 91125, USA

Received 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

*Electronic address: klich@caltech.edu