Scattering theory approach to electrodynamic Casimir forces
Scattering theory approach to electrodynamic Casimir forces
复制标题
DOI：
10.1103/physrevd.80.085021
复制
发表时间：
2009-08
影响因子：
5
通讯作者：
S. Rahi;T. Emig;N. Graham;R. Jaffe;M. Kardar
中科院分区：
文献类型：
--
作者：
S. Rahi;T. Emig;N. Graham;R. Jaffe;M. Kardar
我们给出了一个全面的介绍的方法计算卡西米尔力的任意精度，为任何数量的对象，任意形状，磁化率函数，和分离。该技术适用于浸入介质中的物体，而不是真空、非零温度和一个物体被封闭在另一个物体中的空间布置。我们的方法结合了每个对象的经典电磁散射振幅与通用的转换矩阵，用于计算每个对象的散射之间的基础转换，但在其他方面独立于个别对象的细节。该方法是通过重新推导的Lifshitz公式的无限半空间，通过演示Casimir-Polder到货车德瓦尔斯交叉，并通过计算Casimir相互作用能量的两个无限的，平行的，完美的金属圆柱体内部或外部的一个。此外，它是用来获得新的结果，即，Casimir能量的球或圆柱体相对于板，都具有有限的介电常数和磁导率，在大的分离领先的顺序。
We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed in media other than vacuum, nonzero temperatures, and spatial arrangements in which one object is enclosed in another. Our method combines each object's classical electromagnetic scattering amplitude with universal translation matrices, which convert between the bases used to calculate scattering for each object, but are otherwise independent of the details of the individual objects. The method is illustrated by rederiving the Lifshitz formula for infinite half-spaces, by demonstrating the Casimir-Polder to van der Waals crossover, and by computing the Casimir interaction energy of two infinite, parallel, perfect metal cylinders either inside or outside one another. Furthermore, it is used to obtain new results, namely, the Casimir energies of a sphere or a cylinder opposite a plate, all with finite permittivity and permeability, to leading order at large separation.