= Atomic orbital
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In the case of the <Schrödinger equation solution for the hydrogen atom>, each orbital is one <eigenvector> of the solution.
Remember from <time-independent Schrödinger equation> that the final solution is just the weighted sum of the eigenvector decomposition of the initial state, analogously to <solving partial differential equations with the Fourier series>.
This is the table that you should have in mind to visualize them: https://en.wikipedia.org/w/index.php?title=Atomic_orbital&oldid=1022865014\#Orbitals_table