2009/01/31 by Antoine Canaguier‐Durand, Antoine Canaguier-Durand, Paulo A. Maia Neto +4 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.102.230404
published as Phys.Rev.Lett.102:230404,2009 · 4 pages, new presentation (highlighting the novelty of the results) and added references. To appear in Physical Review Letters
arxiv created 2009/05/14 · openalex publication_date 2009/06/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an exact series expansion of the Casimir force between plane and spherical metallic surfaces in the nontrivial situation where the sphere radius R, the plane-sphere distance L and the plasma wavelength lambda(P) have arbitrary relative values. We then present numerical evaluation of this expansion for not too small values of L/R. For metallic nanospheres where R, L and lambda(P) have comparable values, we interpret our results in terms of a correlation between the effects of geometry beyond the proximity force approximation and of finite reflectivity due to material properties. We also discuss the interest of our results for the current Casimir experiments which are performed with spheres of large radius R>>L.