Clebsch-Gordan系数与二项分布
Clebsch-Gordan coefficients and the binomial distribution
摘要：
利用二项分布的条件概率性质，导出了一类Clebsch-Gordan系数。特别地，在$l=l_1+l_2$的情况下，示出了$$[<l_1/2-k_1, l_2/2-k_2|l/2, k=k_1+k_2]>^2 =\frac{(\begin{array}{c} l_1 k_1\end{array}) (\begin{array}{c}l_2 k_2\end{array})}{(\begin{array}{c}l k \end{array})}$$
英文摘要：
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 $$[<l_1/2-k_1, l_2/2-k_2|l/2, k=k_1+k_2]>^2 =\frac{(\begin{array}{c} l_1 k_1\end{array}) (\begin{array}{c}l_2 k_2\end{array})}{(\begin{array}{c}l k \end{array})}$$
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
