论文标题
在Clebsch-Gordan系数方面，相对论的期望值$ r $的权力值
Expression of relativistic expectation values of powers of $r$ in terms of Clebsch-Gordan coefficients
论文作者
论文摘要
结果表明，在相对论的氢化近似中，$ \ langle n \ ell j | r^k | n \ ell j \ rangle $的期望值可以用clebsch-gordan系数或$ 3JM $符号表示。这概括了Varshalovich和Karpova获得的结果[Opt。光谱。 118，1-5（2015）;选择。 Spektrosk。 118，3-7]在非权利性氢化情况下。
It is shown that, in the relativistic hydrogenic approximation, expectation values of the type $\langle n\ell j|r^k|n\ell j\rangle$ 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.
