Change from cartesian to polar spherical coordinates?

Aug 2012
Hi, I'm having a bit of a problem changing from cartesian to polar spherical coordinates, as the expression contains derivatives.

This is what I have to change:
\(\displaystyle L_x=-i\hbar \left(y\frac{\partial}{\partial z}-z\frac{\partial}{\partial y}\right)\)
\(\displaystyle L_y=-i\hbar \left(z\frac{\partial}{\partial x}-x\frac{\partial}{\partial z}\right)\)
\(\displaystyle L_x=-i\hbar \left(x\frac{\partial}{\partial y}-y\frac{\partial}{\partial x}\right)\)

I'm aware of how to transform x, y and z.

Any help would be appreciated.

(If this is in the wrong subform - I apologize, but I'm not sure what branch of mathematics this belongs to.)