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Perfect magnetic conductor (PMC) boundary conditions are dual to the morefamiliar perfect electric conductor (PEC) conditions and can be viewed as theelectromagnetic analog of the boundary conditions in the bag model for hadronsin QCD. Recent advances and requirements in communication technologies haveattracted great interest in PMC's and Casimir experiments involving structuresthat approximate PMC's may be carried out in the not too distant future. Inthis paper, we make a study of the zero-temperature PMC Casimir piston in $d+1$dimensions. The PMC Casimir energy is explicitly evaluated by summing over$p+1$-dimensional Dirichlet energies where p ranges from 2 to $d$ inclusively.We derive two exact $d$-dimensional expressions for the Casimir force on thepiston and find that the force is negative (attractive) in all dimensions. Bothexpressions are applied to the case of 2+1 and 3+1 dimensions. A spin-off fromour work is a contribution to the PEC literature: we obtain a usefulalternative expression for the PEC Casimir piston in 3+1 dimensions and alsoevaluate the Casimir force per unit area on an infinite strip, a geometry ofexperimental interest.

The perfect magnetic conductor (PMC) Casimir piston in d+1 dimensions