Abstract
A tensorial method for the derivation of new sum rules for oscillator strengths and their moments and for expressions of similar mathematical structure is presented. For illustration, the method is applied to dipole transitions. Here are found new rules generalizing the Wigner-Kirkwood sum rules from one-electron to many-electron atoms. As a second example a new total sum rule for coherently excited states is reported and its relation to partial sum rules for fixed angular momentum transfer but incoherently excited states is shown.
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