High-multipolar effects on the Casimir force: The non-retarded limitC. Noguez, C. E. Román-Velázquez, R. Esquivel-Sirvent and C. Villarreal
Instituto de Física, Universidad Nacional Autónoma de México Apartado Postal 20-364, D.F. 01000, México
(Received 6 October 2003; accepted in final form 6 May 2004)
We implement a spectral representation formalism to calculate exactly the non-retarded Casimir force or dispersive van der Waals force, between a spherical nanoparticle and a planar substrate beyond the dipolar approximation. For a sphere of radius R separated a distance z from the substrate, we find that high-order multipole interactions induce extra factors R/z in the force, as compared to the dipole power law of . As a consequence, at small separations the non-retarded Casimir force increases by several orders of magnitude with respect to that estimated in the usual dipole approximation.
12.20.Ds - Quantum electrodynamics: Specific calculations.
12.20.Fv - Quantum electrodynamics: Experimental tests.
41.20.-q - Applied classical electromagnetism.
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