Coulomb Energy Averaged over the $n\ell^N$-Atomic States with a Definite Spin

Physics – Atomic Physics

Scientific paper

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12 pages, Tex File

Scientific paper

A purely group-theoretical approach (for which the symmetric group plays a
central r\^ole), based upon the use of properties of fractional-parentage
coefficients and isoscalar factors, is developed for the derivation of the
Coulomb energy averaged over the states, with a definite spin, arising from an
atomic configuration $n \ell^N$.

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