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| Paper IPM / Physic / 6844 |
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| Abstract: | |||||||||
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We study the geometry dependence of the Casimir energy for
deformed metal plates by a path integral quantization of the
electromagnetic field. For the first time, we give a complete
analytical result for the deformation induced change in Casimir
energy δε in an experimentally testable,
nontrivial geometry, consisting of a flat and a corrugated plate.
Our results show an interesting crossover for δε
as a function of the ratio of the mean plate distance H, to
the corrugation length λ: For λ << H we find a
slower decay ∼ H−4, compared to the H−5 behavior
predicted by the commonly used pairwise summation of van der Waals
forces, which is valid only forλ >> H.
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