Casimir force between a sphere and a plane: spectral representation formalism

Details Casimir force between a sphere and a plane: spectral representation formalism Casimir force between a sphere and a plane: spectral representation formalism

2003-12-10

arxiv.org/abs/quant-ph/0312090v1

Physics

Quantum Physics

6 pages, contribution to the 6th Workshop on Quantum Field Theory under the Influence of External Conditions (QFEXT03), Norman

Scientific paper

We develop a spectral representation formalism to calculate the Casimir force in the non-retarded limit, between a spherical particle and a substrate, both with arbitrary local dielectric properties. This spectral formalism allows one to do a systematic study of the force as a function of the geometrical variables separately from the dielectric properties. We found that the force does not follow a simple power-law as a function of the separation between the sphere and substrate. As a consequence, the non-retarded Casimir force is enhanced by several orders of magnitude as the sphere approaches the substrate, while at large separations the dipolar term dominates the force.

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