Hey! I'm self-studying a bit of quantum chemistry this summer. My introductory P.chem book (David Ball) doesn't specifically show the conversion of the laplacian operator from Cartesian to spherical coordinates. I don't really feel satisfied until I've actually derived it myself... So... Question:(adsbygoogle = window.adsbygoogle || []).push({});

Is there an easier, non "brute-force" method of converting the laplacian from Cartesian to spherical coordinates? I know that I can rewrite it using the multivariable chain rule and evaluating dozens of partial derivatives, but I'd rather not. From my experience, there has to be an intermediate theorem which shortens the process.

I'd prefer something that is not too overly theoretical (I'm still a freshman!) I've taken undergraduate math up until differential equations, and I'm familiar with some elements of applied math.

Thanks!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Converting Laplacian to spherical coordinates.

**Physics Forums | Science Articles, Homework Help, Discussion**