标题： 非弹性电子-电子散射的转移概率函数 显示英文标题

标题： Transition probability functions for inelastic electron--electron scattering

摘要： 在本工作中，研究了非弹性电子-电子散射的转移矩阵元素。 角部分由球面谐函数给出。 对于加权径向波函数重叠，导出了斯莱特型轨道和类氢轨道模型中的解析表达式。 这些表达式被证明是由多项式和基本三角函数的有限和组成的。 因此，它们易于使用，计算时间少，并且比常用的近似方法显著更准确。 显示英文摘要

摘要： In this work, the transition matrix elements for inelastic electron--electron scattering are investigated. The angular part is given by spherical harmonics. For the weighted radial wave function overlap, analytic expressions are derived in the Slater-type and the hydrogen-like orbital models. These expressions are shown to be composed of a finite sum of polynomials and elementary trigonometric functions. Hence, they are easy to use, require little computation time, and are significantly more accurate than commonly used approximations.