The radial equation is
It's derivation is straight forward using separation of variables with the time independent Schrödinger equation in spherical coordinates.
Testing some escape charachters for html category with a generator has an injective cogenerator" now escape â with "
![$\displaystyle - \frac{\hbar^2}{2m} \frac{d^2u}{dr^2} + \left [ V + \frac{\hbar^2}{2m}\frac{l(l + 1)}{r^2} \right ]u = Eu $](http://images.physicslibrary.org/cache/objects/107/l2h/img1.png "$\displaystyle - \frac{\hbar^2}{2m} \frac{d^2u}{dr^2} + \left [ V + \frac{\hbar^2}{2m}\frac{l(l + 1)}{r^2} \right ]u = Eu $")