Titlebook: Surprises in Theoretical Casimir Physics; Quantum Forces in In William M. R. Simpson Book 2015 Springer International Publishing Switzerlan

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Macroscopic Quantum Electrodynamics simple version of quantum electrodynamics that is suitable for describing some of the effects of quantised electromagnetic fields in media, and determine an expression for the Casimir stress between two interacting objects embedded in a fluid.

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IntroductionThe Casimir force derives its name from the scientist who first predicted it. Hendrik Casimir was a Dutch physicist of the last century who made many contributions to Physics, but is most famous for predicting the phenomenon that carries his name.

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The Divergence of the Casimir StressWe examine the local behaviour of the regularised Casimir stress tensor for an inhomogeneous dielectric medium. It is shown that the expression for the stress tensor is not finite anywhere within the medium, whatever the temporal dispersion or index profile. The standard regularisation does not remove the divergence.

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The Casimir Force in Maxwell’s Fish-EyeIn this chapter we will consider a conundrum created by the case of the Casimir force in Maxwell’s fish-eye.

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OutlookWe are coming to the end of our discussion on the subject of quantum forces in inhomogeneous media, though there are doubtless many more ‘surprises’ in store in Casimir Physics even for the savant.