We discuss three approaches that have been used in obtaining the Born approximation for Coulomb scattering: the standard approach, making use of a convergence factor (“screening”), Oppenheimer's approach using cylindrical (instead of spherical) coordinates, and finally the Landau and Lifshitz approach. We simplify and clarify Oppenheimer's calculation, which has been rarely used because of its complications, and make the Landau and Lifshitz method rigorous. Although the latter method does require some background from the theory of generalized functions, it is nevertheless a very instructive and important technique deserving more exposure to instructors and theoretical physicists in general.

中文翻译：

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Born 近似中的库仑散射和广义函数的使用

我们讨论了用于获得库仑散射的玻恩近似的三种方法：标准方法，使用收敛因子（“筛选”），奥本海默使用圆柱（而不是球面）坐标的方法，最后是 Landau 和 Lifshitz方法。我们简化并阐明了奥本海默的计算，该计算因其复杂性而很少使用，并使兰道和利夫希茨方法变得严格。虽然后一种方法确实需要一些广义函数理论的背景知识，但它仍然是一种非常有启发性和重要的技术，值得更多的教师和理论物理学家接触。