The object of this paper is the generalization of the theoretical calculation of the probability density of finding a charged particle crossing the double arc-slit in the presence of the vector potential. The explicit derivations is carried out in cylindrical coordinates for the Green functions for the underlying problem corresponding to a particle in free magnetic field, for a quantized as well as a non-quantized flux. The discussion in this paper will be limited to the uniform wavefunction of each particle on the surfaces of double arc-slits.

中文翻译：

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圆柱坐标中的三维格林函数：应用于双弧缝的Aharonov-Bohm效应

本文的目的是对存在矢量势的情况下找到穿过双弧缝的带电粒子的概率密度进行理论计算的一般化。显式推导在格林函数的圆柱坐标中进行，用于与自由磁场中的粒子相对应的基本问题，定量和非定量通量。本文的讨论将仅限于双弧缝表面上每个粒子的均匀波函数。