On Casimir Pistons

Abstract

In this paper we study the Casimir force for a piston configuration in $R^3$ with one dimension being slightly curved and the other two infinite. We work for two different cases with this setup. In the first, the piston is "free to move" along a transverse dimension to the curved one and in the other case the piston "moves" along the curved one. We find that the Casimir force has opposite signs in the two cases. We also use a semi-analytic method to study the Casimir energy and force. In addition we discuss some topics for the aforementioned piston configuration in $R^3$ and for possible modifications from extra dimensional manifolds.

20 pages, To be published in MPLA

References in corpus (6)

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• Scalar Casimir effects in a Lorentz violation scenario induced by the presence of constant vectors
• Casimir energy of $N$ magnetodielectric $\delta$-function plates
• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Kaluza-Klein Pistons with non-Commutative Extra Dimensions
• Spherical Casimir effect for a massive scalar field on the three dimensional ball