Abstract
The development of a practical method of accurately calculating the full scattering amplitude, without making a partial-wave decomposition is continued. The method is developed in the context of electron-hydrogen scattering, and here exchange is dealt with by considering $e\penalty1000-\hskip0pt\mathrm{H}$ scattering in the static exchange approximation. The Schr\"odinger equation in this approximation can be simplified to a set of coupled integro-differential equations. The equations are solved numerically for the full scattering wave function. The scattering amplitude can most accurately be calculated from an integral expression for the amplitude; that integral can be formally simplified, and then evaluated using the numerically determined wave function. The results are essentially identical to converged partial-wave results.
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