PlanetPhysics/Radial Equation

The radial equation is

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

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