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Casimir-Polder interaction for gently curved surfaces

arXiv
Authors: Giuseppe Bimonte, Thorsten Emig, Mehran Kardar

Year

2014

Paper ID

47331

Status

Preprint

Abstract Read

~2 min

Abstract Words

81

Citations

N/A

Abstract

We use a derivative expansion for gently curved surfaces to compute the leading and the next-to-leading curvature corrections to the Casimir-Polder interaction between a polarizable small particle and a non-planar surface. While our methods apply to any homogeneous and isotropic surface, explicit results are presented here for perfect conductors. We show that the derivative expansion of the Casimir-Polder potential follows from a resummation of its perturbative series, for small in-plane momenta. We consider the retarded, non-retarded and classical high temperature limits.

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  • We use a derivative expansion for gently curved surfaces to compute the leading and the next-to-leading curvature corrections to the Casimir-Polder interaction between a...

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