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The general impact theory of electron broadening, developed previously by Griem, Baranger, Kolb, and Oertel (G BKO), is extended in order to take into account the off-diagonal matrix elements necessary to treat the case of partially overlapping lines.The new time integrals arising in the theory have rigorously been evaluated. It follows a generalized and consistent treatment of overlapping lines for any degree of degeneracy. The "complete degeneracy case" (hydrogen) and the "isolated-line case" appear as limiting situations in our theoretical description. In order to describe the four possible kinds of second-order atomic transitions, we are led to generalize the A and B functions of G BKO. Properties of these new A (z₁,z₂) and B (z₁,z₂) functions are considered in detail.
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Deutsch et al. (1969) studied this question.
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