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18 April 2024
 
  » arxiv » quant-ph/0509071

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The Casimir Piston
M. P. Hertzberg ; R. L. Jaffe ; M. Kardar ; A. Scardicchio ;
Date 12 Sep 2005
Subject Quantum Physics; Statistical Mechanics | quant-ph cond-mat.stat-mech hep-th
AbstractWe study the Casimir force acting on a conducting piston with arbitrary cross section. We find the exact solution for a rectangular cross section and the first three terms in the asymptotic expansion for small height to width ratio when the cross section is arbitrary. Though weakened by the presence of the walls, the Casimir force turns out to be always attractive. Claims of repulsive Casimir forces for related configrations, like the cube, are invalidated by cutoff dependence.
Source arXiv, quant-ph/0509071
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