Europhys. Lett.
Volume 67, Number 2, July 2004
Page(s) 191 - 197
Section Interdisciplinary physics and related areas of science and technology
Published online 01 July 2004
Europhys. Lett., 67 (2) , pp. 191-197 (2004)
DOI: 10.1209/epl/i2003-10282-0

High-multipolar effects on the Casimir force: The non-retarded limit

C. 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 $\sim
R^3/z^3$ . 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.

© EDP Sciences 2004