- #1

- 470

- 58

I would like to write the Laplacian operator in toroidal coordinate given by:

$$

\begin{cases}

x=(R+r\cos\phi)\cos\theta \\

y=(R+r\cos\phi)\sin\theta \\

z=r\sin\phi

\end{cases}

$$

where [itex]r[/itex] and [itex]R[/itex] are fixed.

How do I do?

More generally how do I find the Laplacian under a generic change of variables?

Thanks