Repulsive Casimir Pistons

Abstract

Casimir pistons are models in which finite Casimir forces can be calculated without any suspect renormalizations. It has been suggested that such forces are always attractive. We present three scenarios in which that is not true. Two of these depend on mixing two types of boundary conditions. The other, however, is a simple type of quantum graph in which the sign of the force depends upon the number of edges.

4 pages, 2 figures; RevTeX. Minor additions and corrections

References in corpus (3)

• Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics
• Casimir force on a piston
• Quantum Fields on Star Graphs

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• Spectral Properties of Quantum Circulant Graphs
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• Kaluza-Klein Pistons with non-Commutative Extra Dimensions
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• Weak and Repulsive Casimir Force in Piston Geometries
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• The Boundary-Integral Formulation and Multiple-Reflection Expansion for the Vacuum Energy of Quantum Graphs
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