Casimir-Polder interaction for gently curved surfaces
Author(s)Bimonte, Giuseppe; Emig, Thorsten; Kardar, Mehran
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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 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.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review D
American Physical Society
Bimonte, Giuseppe, Thorsten Emig, and Mehran Kardar. "Casimir-Polder interaction for gently curved surfaces." Phys. Rev. D 90 (2014): 081702(R). © 2014 American Physical Society.
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