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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

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# Laplacian in toroidal coordinates

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