PlanetPhysics/Radial Equation
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The radial equation is
It's derivation is straight forward using separation of variables with the time independent Schr\"odinger equation in spherical coordinates.
The radial equation is
![{\displaystyle -{\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}](https://wikimedia.org/api/rest_v1/media/math/render/svg/15e096b9fc5e747247dc2fba93d308c3c989ecc0)
It's derivation is straight forward using separation of variables with the time independent Schr\"odinger equation in spherical coordinates.