Casimir Piston of Real Materials and its Application to Multi-Layer Models

Abstract

In this article, we derive the formula for the Casimir force acting on a piston made of real material moving inside a perfectly conducting rectangular box. It is shown that by taking suitable limits, one recovers the formula for the Casimir force acting on a perfectly conducting piston or an infinitely permeable piston. Lifshitz formula for finite temperature Casimir force acting on parallel plates made of real materials is re-derived by considering the five-layer model in the context of piston approach. It is observed that the divergences of the Casimir force will only cancel under certain conditions, for example, when the regions separated by the plates are filled with media of the same refractive index.

19 pages, 6 figures. Final version accepted by Phys. Rev. A

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• Casimir effect of massive vector fields
• The Casimir effect for stack of graphenes
• One-loop omega-potential of quantum fields with ellipsoid constant-energy surface dispersion law
• The Casimir interaction of a massive vector field between concentric spherical bodies
• Casimir effect across a layered medium
• The Casimir Effect for Thick Pistons
• Casimir energy for $N$ constant conductivity $\delta$-plates with a neural network perception