The Casimir effect in the sphere-plane geometry

Details The Casimir effect in the sphere-plane geometry The Casimir effect in the sphere-plane geometry

2012-02-15

arxiv.org/abs/1202.3272v1

Physics

Quantum Physics

Proceedings of the 10th International Conference "Quantum Field Theory Under the Influence of External Conditions" (Benasque,

Scientific paper

We present calculations of the Casimir interaction between a sphere and a plane, using a multipolar expansion of the scattering formula. This configuration enables us to study the nontrivial dependence of the Casimir force on the geometry, and its correlations with the effects of imperfect reflection and temperature. The accuracy of the Proximity Force Approximation (PFA) is assessed, and is shown to be affected by imperfect reflexion. Our analytical and numerical results at ambient temperature show a rich variety of interplays between the effects of curvature, temperature, finite conductivity, and dissipation.

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