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arXiv 1808.02205physics.class-phhep-thquant-ph
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磁介质中Casimir力的注记

Remarks on the Casimir force for magnetodielectric media

Iver Brevik, Prachi Parashar, K. V. Shajesh

摘要:

博耶证明了一个完美的导电板排斥一个完美的导磁板,与两个完全相同的完美的导电/导磁板之间的吸引卡西米尔力相反。为了深入了解Boyer力和Casimir力之间的差异,我们使用应力张量方法推导了Boyer力,然后使用介电变分法。格林并矢,在电和磁格林函数,提出了一个电介质填充一半的空间和另一个磁介质填充另一半的空间,使两个半空间是平行的,并分开一个距离$a$。我们观察到Boyer腔中的散射光谱分布是Fermi-Dirac型的,而Casimir腔中的散射光谱分布是Bose-Einstein型的。基于这一观察,我们得出结论,波耶力和卡西米尔力之间的差异是由各自的腔中可能的散射的统计。

英文摘要:

Boyer showed that a perfect electrically conducting slab repels a perfect magnetically conducting slab, in contrast to the attractive Casimir force between two identical perfect electrically/magnetically conducting slabs. To gain insight for the difference between the Boyer force and the Casimir force, we present the derivation of the Boyer force using the stress tensor method and then using the method of variation in dielectric. The Green dyadic, in terms of electric and magnetic Green's functions, is presented for an electric medium filling half of space and another magnetic medium filling another half of space such that the two half-spaces are parallel and separated by a distance $a$. We make the observation that the spectral distribution of scattering in a Boyer cavity is that of Fermi-Dirac type, while the spectral distribution of scattering in a Casimir cavity is that of Bose-Einstein type. Based on this observation we conclude that the difference between the Boyer force and the Casimir force is governed by the statistics of the possible scattering in the respective cavities.

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