Nonperturbative access to Casimir-Polder forces
Babette D\"obrich, Maarten DeKieviet, Holger Gies
TL;DR
This paper introduces a nonperturbative formulation for calculating Casimir-Polder forces between a sphere and a corrugated surface, providing explicit numerical results for sinusoidal profiles, advancing understanding of quantum fluctuation forces.
Contribution
It presents a novel nonperturbative approach to Casimir-Polder forces for complex surface profiles, specifically applied to a sphere and corrugated surface with Dirichlet conditions.
Findings
Explicit numerical results for sinusoidal corrugation profiles
Nonperturbative formulation applicable to arbitrary surface profiles
Enhanced understanding of Casimir-Polder interactions in complex geometries
Abstract
We discuss the scalar analogue of the Casimir-Polder force between a sphere and a uniaxially corrugated surface with Dirichlet boundary conditions. Presenting a formulation that is nonperturbative in the height profile of the surface, we give explicit numerical results for a sinuosoidal corrugation profile.
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