球座標

$$\bm{A}=(A_r,A_\theta,A_\phi)$$ (B.13)

$$dv=r^2\sin \theta dr d\theta d\phi$$ (B.14)

$$\nabla f = \left( \frac{\partial f}{\partial r}, \frac{1}{r}\frac... ...{\partial \theta}, \frac{1}{r\sin\theta}\frac{\partial f}{\partial\phi} \right)$$ (B.15)

$$\nabla\cdot\bm{A} = \frac{1}{r^2}\frac{\partial}{\partial r}(r^2A... ...(A_\theta\sin\theta) +\frac{1}{r\sin\theta}\frac{\partial A_\phi}{\partial\phi}$$ (B.16)

$$\nabla\times\bm{A} = \left( \frac{1}{r\sin\theta}\left\{\frac{\pa... ...ial}{\partial r}(rA_\theta)-\frac{\partial A_r}{\partial\theta}\right\} \right)$$ (B.17)

$$\nabla^2 f = \frac{1}{r^2}\frac{\partial}{\partial r}\left(r^2\fr... ...al\theta}\right) +\frac{1}{r^2\sin^2\theta}\frac{\partial^2 f}{\partial \phi^2}$$ (B.18)