This report is primarily a review article on nonrelativistic Coulomb scattering wave functions. We have concentrated on those properties which are most useful to a physicist who wishes to apply the results to scattering problems, and supplied simple derivations of the most important properties. No attempt has been made at completeness. We have adopted a notation which though unconventional emphasizes the analogy with the simpler formulas that result when the charge vanishes.nIn addition to the scattering problem, the bound state problem is also discussed;only for the nonrelativistic case have we given all details of the wave function including the normalization. For the relativistic treatments, which include both Klein-Gordon and Dirac equations, we have been content to derive the spectrum of energy levels and make only a few remarks about the wave functions. Enough detail is given, however, that the interested reader can easily supply the additional formulas.
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