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

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

2009-08-27

arxiv.org/abs/0908.3942v2

Phys.Rev.A81:032502,2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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