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

Understand

Perfect magnetic conductor (PMC) boundary conditions are dual to the more familiar perfect electric conductor (PEC) conditions and can be viewed as the electromagnetic analog of the boundary conditions in the bag model for hadrons in QCD.

• Recent advances and requirements in communication technologies have attracted great interest in PMC's and Casimir experiments involving structures that approximate PMC's may be carried out in the not too distant future.
• In this 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.