论文标题
球形物体之间的casimir效应：接近力近似以及使用平面波
Casimir effect between spherical objects: proximity-force approximation and beyond using plane waves
论文作者
论文摘要
对于附近两个物体之间的Casimir相互作用，平面波基的数值计算和分析考虑方面证明了方便，从而导致对电磁波相关散射过程的光学解释。我们审查有关涉及球形对象的系统，在平面波的基础上对接近力的近似以及对其进行校正的工作。通过允许在球体的反射期间进行极化混合来扩展先前的工作。特别是，为完美的电磁导体提供了明确的结果。此外，对于在零温度下的完美电导导体，可以证明，超出了接近力近似的领先校正，在球体表面之间的距离中出现了半级数的术语。
For the Casimir interaction between two nearby objects, the plane-wave basis proves convenient for numerical calculations as well as for analytical considerations leading to an optical interpretation of the relevant scattering processes of electromagnetic waves. We review work on the proximity-force approximation and corrections to it within the plane-wave basis for systems involving spherical objects. Previous work is extended by allowing for polarization mixing during the reflection at a sphere. In particular, explicit results are presented for perfect electromagnetic conductors. Furthermore, for perfect electric conductors at zero temperature, it is demonstrated that beyond the leading-order correction to the proximity-force approximation, terms of half-integer order in the distance between the sphere surfaces appear.
