Casimir energy, dispersion, and the Lifshitz formula

Details Casimir energy, dispersion, and the Lifshitz formula Casimir energy, dispersion, and the Lifshitz formula

2010-01-23

arxiv.org/abs/1001.4163v1

Physics

Condensed Matter

Other Condensed Matter

11 pages, no figures

Scientific paper

Despite suggestions to the contrary, we show in this paper that the usual dispersive form of the electromagnetic energy must be used to derive the Lifshitz force between parallel dielectric media. This conclusion follows from the general form of the quantum vacuum energy, which is the basis of the multiple-scattering formalism. As an illustration, we explicitly derive the Lifshitz formula for the interaction between parallel dielectric semispaces, including dispersion, starting from the expression for the total energy of the system. The issues of constancy of the energy between parallel plates and of the observability of electrostrictive forces are briefly addressed.

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