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Casimir-Polder interaction for gently curved surfaces

TitleCasimir-Polder interaction for gently curved surfaces
Publication TypeJournal Article
Year of Publication2014
AuthorsBimonte G, Emig T, Kardar M
JournalPhysical Review D
Volume90
Date PublishedOct-28-2014
Type of ArticleArticle
ISSN1550-7998
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 nonplanar 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, nonretarded and classical high-temperature limits.

DOI10.1103/PhysRevD.90.081702
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