电荷与薄等离子体片的相互作用
On the interaction of a charge with a thin plasma sheet
摘要：
研究了电磁场与描述碳纳米管或$C_{60}$分子π电子的二维等离子体片的相互作用。通过积分出的第一个位移场的等离子体或第一个电磁场的不同表示的量，如卡西米尔能量推导出，这是相互一致的。从电磁场的协变规范开始，它示出了等离子体片的存在可以减少的匹配条件是不同于常用的。处理方法的差异并不表现在两个平行片层之间的卡西米尔力上，但它存在于电荷或中性原子与片层之间的卡西米尔-波尔德力上。同时，由于等离子体片是导体边界条件的正则化，这揭示了在Phys.Rev.D70（2004）085010中较早将导体边界条件实现为“薄”或“厚”边界条件时发现的物理差异。
英文摘要：
The interaction of the electromagnetic field with a two dimensional plasma sheet intended to describe the pi-electrons of a carbon nano-tube or a $C_{60}$ molecule is investigated. By integrating out first the displacement field of the plasma or first the electromagnetic field different representations for quantities like the Casimir energy are derived which are shown to be consistent with one another. Starting from the covariant gauge for the electromagnetic field it is shown that the matching conditions to which the presence of the plasma sheet can be reduced are different from the commonly used ones. The difference in the treatments does not show up in the Casimir force between two parallel sheets, but it is present in the Casimir-Polder force between a charge or a neutral atom and a sheet. At once, since the plasma sheet is a regularization of the conductor boundary conditions, this sheds light on the difference in physics found earlier in the realization of conductor boundary conditions as 'thin' or 'thick' boundary conditions in Phys.Rev.D70(2004)085010.
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