The evaluation of the relativistic continuum-continuum radial matrix elements which occur in the theory of bound Compton scattering and electron-atom bremsstrahlung is discussed. A method is developed for their calculation which involves deformation of the integration contour into the complex plane. The method is fast, accurate and applicable to a wide range of electron angular momenta, photon energies and photon angular momenta. As an adjunct to the method, second-order WKB forms for relativistic point-Coulomb continuum radial eigenfunctions are developed.
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Sneddon et al. (1990) studied this question.
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