PlanetPhysics/Radial Equation

The radial equation is

$- \frac{ℏ^{2}}{2 m} \frac{d^{2} u}{d r^{2}} + [V + \frac{ℏ^{2}}{2 m} \frac{l (l + 1)}{r^{2}}] u = E u$

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