非均匀介质中的Casimir力:重整化和虚功原理
Casimir forces in inhomogeneous media: renormalization and the principle of virtual work
摘要:
我们计算Casimir力在两种配置,即,三个平行的电介质板和两个完美的导电板之间的电介质板,其中的电介质材料在垂直于界面的方向上是分散的和不均匀的。提出了一个重正化方案,其中包括减去一个界面与一个单一的非均匀介质的影响。最后给出了一些例子来说明该方案。我们的方法总是给出有限的结果,并与虚功原理是一致的,它扩展了Dzyaloshinskiii-Lifshitz-Pitaeveskii力的非均匀介质。
英文摘要:
We calculate the Casimir forces in two configurations, namely, three parallel dielectric slabs and a dielectric slab between two perfectly conducting plates, where the dielectric materials are dispersive and inhomogeneous in the direction perpendicular to the interfaces. A renormalization scheme is proposed consisting of subtracting the effect of one interface with a single inhomogeneous medium. Some examples are worked out to illustrate this scheme. Our method always gives finite results and is consistent with the principle of virtual work; it extends the Dzyaloshinskii-Lifshitz-Pitaeveskii force to inhomogeneous media.
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