= Schrödinger equation solution for the hydrogen atom
{c}
Is the only atom that has a closed form solution, which allows for very good predictions, and gives awesome intuition about the orbitals in general.
It is arguably the most important solution of the Schrodinger equation.
In particular, it predicts:
* the major <spectral line> of the <hydrogen> atom by taking the difference between energy levels
The explicit solution can be written in terms of <spherical harmonics>.
\Video[https://www.youtube.com/watch?v=W2Xb2GFK2yc]
{title=A Better Way To Picture Atoms by <minutephysics> (2021)}
{description=Renderings based on the exact <Schrödinger equation solution for the hydrogen atom> that depict <wave function> concentration by concentration of small balls, and <angular momentum> by how fast the balls rotate at each point. Mentions that the approach is inspired by <de Broglie-Bohm theory>.}