Partial support from the Faculty Development Committee of Portland State University is acknowledged.
Physical Review A
Molecular structure, Electromagnetic fields, Sum rules (Physics)
Romero and Aucar [Phys. Rev. A 57, 2212 (1998)] have found a vanishing result for the relativistic correction to the dipole sum rule ∆S1 for a one-electron system. They have given a result for the dipole sum rule ∆S2 as well. We argue that these results are both incorrect and show explicitly that their approach yields a nonvanishing result for ∆S1. The corrected result is in agreement with that which we have obtained in a recent paper, in which we present explicit expressions for ∆S1, ∆S2, and several other more general sum rules.
Leung, P. T. (199). Comment on “Relativistic correction of the generalized oscillator strength sum rules”. Physical Review A (General Physics), 59(6), 5417-5419.