The summed oscillator strength is calculated to order (v/c)² for a Dirac electron in a central force field. The result (1+T₀₀)^-1 is interpreted in terms of the electron's increase of mass due to its kinetic energy. (T₀₀ is the expectation value of the kinetic energy, in units of mc².) This analytical result is in fair agreement with our earlier numerical result, and those of Brown et al. for a K electron of lead. We also calculate the bremsstrahlung-weighted cross section for a Dirac electron in a Coulomb field, and compare with our numerical result for lead.
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Levinger et al. (1957) studied this question.
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