Leading- and next-to-leading-order lateral Casimir force on corrugated surfaces

Details Leading- and next-to-leading-order lateral Casimir force on corrugated surfaces Leading- and next-to-leading-order lateral Casimir force on corrugated surfaces

2008-10-10

arxiv.org/abs/0810.1787v1

Int.J.Mod.Phys.A24:1757-1763,2009

Physics

High Energy Physics

High Energy Physics - Theory

6 pages. Seventh Alexander Friedmann International Seminar on Gravitation and Cosmology

Scientific paper

10.1142/S0217751X09045339

We derive explicit analytic expressions for the lateral force for two different configurations with corrugations, parallel plates and concentric cylinders. By making use of the multiple scattering formalism, we calculate the force for a scalar field under the influence of a delta-function potential that has sinusoidal dependence in one direction simulating the corrugations. By making a perturbative expansion in the amplitude of the corrugation we find the leading order for the corrugated concentric cylinders and the next-to-leading order for the corrugated parallel plates.

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