Scalar Casimir effect between Dirichlet spheres or a plate and a sphere

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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published version; 13 pages, 2 figures; add. material (in Sec.VI) and corrections (esp. in App.B)

Scientific paper

10.1103/PhysRevD.73.025007

We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation schemes and establish when such schemes become useful. The formalism can be easily extended to any number of spheres and/or planes in three or arbitrary dimensions, with a variety of boundary conditions or non-overlapping potentials/non-ideal reflectors.

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