Abstract
In this paper we present a new result involving the properties of the Clebsch–Gordan coefficients well-used in atomic physics. We also demonstrate a practical use of this result: a new and simple method of calculation of unit tensor operators of multi-electron atoms while working within the Slater–Condon scheme. This results in a significant increase in the ease of implementation of multi-electron atomic physics models, and we discuss the computational complexity of the resulting algorithm.
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