Semiclassical theory of ion stopping

There is a need for a convenient method to calculate oscillator strengths for highly charged ions for application to the calculation of stopping powers. In this paper we describe a new semiclassical method for finding electron matrix-elements and oscillator strengths. The method is tested by comparison with known results for the Coulomb potential and proves to be numerically robust and reasonably accurate for all transitions examined. It is applied to calculate the hydrogen Bethe excitation potential