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【ナブラ$\vec{\nabla}$の球座標表示】
\begin{equation}
\psi(r,\theta ,\varphi)=R_{l}(r)Y_{lm}(\theta,\varphi)
\end{equation}
\begin{equation}
\vec{\nabla}=\vec{e}_{r}\frac{\partial}{\partial r}+\vec{e}_{\theta}\frac{1}{r}\frac{\partial}{\partial \theta}+\vec{e}_{\phi}\frac{1}{r\sin \theta}\frac{\partial}{\partial \phi}
\end{equation}

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