PlanetPhysics/Radial Equation

The radial equation is

$$ - \frac{\hbar^2}{2m} \frac{d^2u}{dr^2} + \left [ V + \frac{\hbar^2}{2m}\frac{l(l + 1)}{r^2} \right ]u = Eu $$

It's derivation is straight forward using separation of variables with the time independent Schr\"odinger equation in spherical coordinates.