论文标题
两个任意半径的两个drude球体的经典Casimir自由能：平面波方法
Classical Casimir free energy for two Drude spheres of arbitrary radii: A plane-wave approach
论文作者
论文摘要
我们得出了两个任意半径drude球之间Casimir相互作用的高温极限的精确分析表达。具体而言，我们通过在平面波中使用散射方法来确定Casimir自由能。在往返往返扩展中，我们被带到了圆旅行的某些分区的组合。讨论了Casimir自由能与两个球体的电容矩阵之间的关系。先前已知的球体平面几何形状以及两个相等半径的球体的已知结果。确定了两个球体之间小距离的渐近扩展，并给出了系数的分析表达式。
We derive an exact analytic expression for the high-temperature limit of the Casimir interaction between two Drude spheres of arbitrary radii. Specifically, we determine the Casimir free energy by using the scattering approach in the plane-wave basis. Within a round-trip expansion, we are led to consider the combinatorics of certain partitions of the round trips. The relation between the Casimir free energy and the capacitance matrix of two spheres is discussed. Previously known results for the special cases of a sphere-plane geometry as well as two spheres of equal radii are recovered. An asymptotic expansion for small distances between the two spheres is determined and analytical expressions for the coefficients are given.
