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

2005/11/30 by Aurel Bulgac, Piotr Magierski, Andreas Wirzba +1 · 12 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #cond-mat.stat-mech #hep-ph #hep-th #nlin.CD #quant-ph

paper · pdf · doi:10.1103/physrevd.73.025007

published as Phys.Rev. D73 (2006) 025007 · published version; 13 pages, 2 figures; add. material (in Sec.VI) and corrections (esp. in App.B)

arxiv created 2006/01/13 · openalex publication_date 2006/01/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 nonoverlapping potentials/nonideal reflectors.

Citations

• Quantization of HyperbolicN-Sphere Scattering Systems in Three Dimensions
• New Developments in the Casimir Effect

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