In the case of the Schrodinger equation solution for the hydrogen atom, each orbital is one eigenvector of the solution.
Remember from time-independent Schrodinger 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
- Schrodinger equation solution for the hydrogen atom | 159, 372, 4
- Solutions of the Schrodinger equation | 32, 2k, 32
- Schrodinger equation | 167, 3k, 52
- Non-relativistic quantum mechanics | 26, 3k, 56
- Quantum mechanics | 170, 15k, 217
- Particle physics | 135, 24k, 383
- Physics | 276, 33k, 581
- Natural science | 0, 41k, 934
- Science | 0, 45k, 1k
- Ciro Santilli's Homepage | 238, 163k, 3k