圆锥上的Aharonov-Bohm散射
Aharonov-Bohm scattering on a cone
摘要：
在平面重力场中，利用局部源计算了Aharonov-Bohm散射振幅，该局部源还带有一个磁通量。这些源导致时空在它们的位置发展出锥形奇点，从而在带电粒子的散射中引入了新的效应。通过作者以前介绍的渐近展开的方式分析了波函数在经典散射方向附近的行为。研究发现，与平坦空间中的Aharonov-Bohm效应相比，数值通量的整数值可以产生可观测的效应。
英文摘要：
The Aharonov-Bohm scattering amplitude is calculated in the context of planar gravity with localized sources which also carry a magnetic flux. These sources cause space-time to develop conical singularities at their location, thus introducing novel effects in the scattering of electrically charged particles. The behaviour of the wave function in the proximity of the classical scattering directions is analyzed by means of an asymptotic expansion previously introduced by the author. It is found that, in contrast with the Aharonov-Bohm effect in flat space, integer values of the numerical flux can produce observable effects.
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