Bulgac A, Wirzba A
Department of Physics, University of Washington, Seattle, WA 98195-1560, USA.
Phys Rev Lett. 2001 Sep 17;87(12):120404. doi: 10.1103/PhysRevLett.87.120404. Epub 2001 Aug 30.
Using ensembles of two, three, and four spheres immersed in a fermionic background we evaluate the (integrated) density of states and the Casimir energy. We thus infer that for sufficiently smooth objects, whose various geometric characteristic lengths are larger then the Fermi wave length one can use the simplest semiclassical approximation (the contribution due shortest periodic orbits only) to evaluate the Casimir energy. We also show that the Casimir energy for several objects can be represented fairly accurately as a sum of pairwise Casimir interactions between pairs of objects.
我们使用沉浸在费米子背景中的两个、三个和四个球体的集合来评估态密度（积分态密度）和卡西米尔能量。由此我们推断，对于足够光滑的物体，其各种几何特征长度大于费米波长时，人们可以使用最简单的半经典近似（仅考虑最短周期轨道的贡献）来评估卡西米尔能量。我们还表明，几个物体的卡西米尔能量可以相当准确地表示为物体对之间成对卡西米尔相互作用的总和。
