Conical Casimir Pistons with Hybrid Boundary Conditions

Abstract

In this paper we compute the Casimir energy and force for massless scalar fields endowed with hybrid boundary conditions, in the setting of the bounded generalized cone. By using spectral zeta function regularization methods, we obtain explicit expressions for the Casimir energy and force in arbitrary dimensions in terms of the zeta function defined on the piston. Our general formulas are, subsequently, specialized to the case in which the piston is modelled by a $d$-dimensional sphere. In this particular situation, explicit results are given for $d=2,3,4,5$.

LaTex, 26 Pages

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Cited by in corpus (21)

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• Fermionic current induced by magnetic flux in compactified cosmic string spacetime
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• Fermionic vacuum polarization in compactified cosmic string spacetime
• Repulsive Casimir-Polder forces from cosmic strings
• Casimir effect for parallel metallic plates in cosmic string spacetime
• Casimir-Polder interaction between an atom and a conducting wall in cosmic string spacetime
• Casimir-Polder potential for a metallic cylinder in cosmic string spacetime
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• Casimir Pistons with General Boundary Conditions
• Finite temperature fermionic condensate in a conical space with a circular boundary and magnetic flux
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• Hyperspherical $\delta \text{-}{\delta }^{\prime }$ potentials
• The Casimir Effect for Generalized Piston Geometries
• Scalar Casimir densities and forces for parallel plates in cosmic string spacetime
• Casimir interaction of concentric spheres at finite temperature
• Casimir pistons with generalized boundary conditions: a step forward
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• Some Developments of the Casimir Effect in $p$-Cavity of $(D+1)$-Dimensional Spacetime
• Scalar Casimir effect between two concentric D-dimensional spheres
• Black holes and quantum theory on manifolds with singular potentials