拓扑AC和HMW效应及2+1维中的对偶电流
The Topological AC and HMW Effects, and the Dual Current in 2+1 Dimensions
摘要：
本文研究了2+1维情形下的Aharonov-Casher（AC）效应和He-McKellar-Wilkens（HMW）效应。在这个有限的空间中，这些效应是电磁场张量与电流的对偶相互作用的结果。将对偶操作从电流转移到场张量表明，这种相互作用可以重新解释为由于有效矢量势和电流的相互作用，并且AC和HMW效应立即跟随。对于具有任意自旋的粒子，给出了这一点的一般性证明。在这种解释下，对2+1维的限制为处理任意自旋的AC和HMW效应提供了一种统一的方法。也许更有趣的是，这种处理表明，自旋为0的粒子可以显示AC和HMW效应，尽管它没有通常意义上的磁或电偶极矩。
英文摘要：
We study the Aharonov-Casher (AC) effect and the related He-McKellar-Wilkens (HMW) effect in 2+1 dimensions. In this restricted space these effects are the result of the interaction of the electromagnetic field tensor with the dual of a current. Transferring the dual operation from the current to the field tensor shows that this interaction may be reinterpreted as due to the interaction of an effective vector potential and a current, and the AC and HMW effects follow immediately. A general proof of this for particles with an arbitrary spin is provided. The restriction to 2+1 dimensions, with this interpretation, provides a unified way of treating the AC and HMW effects for an arbitrary spin. Perhaps more interestingly the treatment shows that a spin-0 particle can show AC and HMW effects, although it has no magnetic or electric dipole moment in the usual sense.
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