Application of a Dispersion Relation to the Electron Impact Widths and Shifts of Isolated Spectral Lines from Neutral Atoms

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Abstract
From a quantum mechanical dispersion relation for the scattering amplitudes of thermal electrons on excited states of emitting atoms follows a dispersion relation between electron impact widths and shifts of isolated spectral lines. This relation is used to check the consistency of previous calculations of the impact broadening made with the classical path assumption and to fully determine the parameters for the cutoff at small impact parameters in the usual perturbation theory.