Non-superposition effects in the Dirichlet Casimir effect

Abstract

We study non-superposition effects in the Dirichlet Casimir interaction energy for N boundaries in d spatial dimensions, quantifying its departure from the case of an interaction where a superposition principle is valid. We first derive some general results about those effects, and then show that they only become negligible when the distances between surfaces are larger than the sizes of each individual surface. We consider different examples in one, two and three spatial dimensions.

17 pages, LaTeX, no figures

References in corpus (4)

• Casimir forces between arbitrary compact objects
• Casimir forces in a T operator approach
• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Multiple Scattering Methods in Casimir Calculations

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• Finite size effects and non-additivity in the van der Waals interaction
• Geometry and material effects in Casimir physics - Scattering theory
• Casimir forces from a loop integral formulation
• On the Casimir interaction between two smoothly deformed cylindrical surfaces