Journal
EUROPHYSICS LETTERS
Volume 67, Issue 2, Pages 191-197Publisher
EDP SCIENCES S A
DOI: 10.1209/epl/i2003-10282-0
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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 similar toR(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.
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