Clebsch-Gordan coefficients and the binomial distribution

Physics – Quantum Physics

Scientific paper

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6 pages, latex

Scientific paper

A class of Clebsch-Gordan coefficients are derived from the properties of
conditional probability using the binomial distribution. In particular, in the
case of $l=l_1+l_2$ it is shown that $$[k=k_1+k_2]>^2 =\frac{(\begin{array}{c} l_1 k_1\end{array}) (\begin{array}{c}l_2
k_2\end{array})}{(\begin{array}{c}l k \end{array})}$$

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