多层平面平行磁介质系统中的Casimir吸引
Casimir attraction in multilayered plane parallel magnetodielectric systems
摘要:
本文提出了一个计算平面平行多层膜之间Casimir吸引力的强有力的程序,该多层膜由具有任意磁和介电性质的均匀区域组成,采用Minkowski能量动量张量。该理论被应用到许多几何形状,并再现了一些其他作者所获得的结果。虽然各种各样的理论是众所周知的,相对容易的卡西米尔力密度,甚至复杂的平面结构可以计算,似乎没有得到广泛的赞赏,没有一个单一的文件,作者的知识,使明确的程序在这里演示。结果可以被看作是解决基本问题的重要基石,例如长期存在的关于卡西米尔力的热行为的争论,或者应用什么是正确的应力张量的问题,由于Raabe和Welsch的新建议的替代理论重新加快了讨论。
英文摘要:
A powerful procedure is presented for calculating the Casimir attraction between plane parallel multilayers made up of homogeneous regions with arbitrary magnetic and dielectric properties by use of the Minkowski energy-momentum tensor. The theory is applied to numerous geometries and shown to reproduce a number of results obtained by other authors. Although the various pieces of theory drawn upon are well known, the relative ease with which the Casimir force density in even complex planar structures may be calculated, appears not to be widely appreciated, and no single paper to the author's knowledge renders explicitly the procedure demonstrated herein. Results may be seen as an important building block in the settling of issues of fundamental interest, such as the long-standing dispute over the thermal behaviour of the Casimir force or the question of what is the correct stress tensor to apply, a discussion re-quickened by the newly suggested alternative theory due to Raabe and Welsch.
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