标题： 超越邻近近似的卡西米尔力 显示英文标题

标题： Casimir forces beyond the proximity approximation

摘要： 接近力近似（PFA）将紧密排列的光滑曲面之间的相互作用与平行板之间的力联系起来。 卡西米尔力的精密实验需要并对PFA的修正措施提出了推动作用。 我们使用对轻微弯曲表面的导数展开来推导PFA的主要曲率修正。 我们的方法适用于任何均匀和各向同性的材料；在这里，我们给出了狄利克雷和诺伊曼边界条件以及理想导体的结果。 通过在大距离处的多极展开约束的帕德外推法和在短距离处的改进展开法，提供了一个准确的表达式，用于所有分离距离下的球-板卡西米尔力。 显示英文摘要

摘要： The proximity force approximation (PFA) relates the interaction between closely spaced, smoothly curved objects to the force between parallel plates. Precision experiments on Casimir forces necessitate, and spur research on, corrections to the PFA. We use a derivative expansion for gently curved surfaces to derive the leading curvature modifications to the PFA. Our methods apply to any homogeneous and isotropic materials; here we present results for Dirichlet and Neumann boundary conditions and for perfect conductors. A Pad\'e extrapolation constrained by a multipole expansion at large distance and our improved expansion at short distances, provides an accurate expression for the sphere-plate Casimir force at all separations.