Expression of relativistic expectation values of powers of r in terms of Clebsch-Gordan coefficients
Abstract
It is shown that, in the relativistic hydrogenic approximation, expectation values of the type n j|rk|n j can be expressed in terms of Clebsch-Gordan coefficients or 3jm symbols. This generalizes the results obtained by Varshalovich and Karpova [Opt. Spectrosc. 118, 1-5 (2015); Opt. Spektrosk. 118, 3-7] in the non-relativistic hydrogenic case.
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