Solving Schrodinger equation for the hydrogen atom

Here, I solve Schrodinger equation for an electron assuming the Coulomb interaction potential between the electron and an atomic nucleus. This leads to quantized energies in the same form as predicted by Bohr's model, but also provides information on the atomic orbitals and the form of electronic wave functions. The degeneracy observed for states with different angular momentum quantum numbers l = 0, 1 ... n-1 for a given n is also discussed.

[tayyabkhan]

You must have gathered a lot of courage for that.Hydrogen atom is like a nightmare for me.

[xiaolian]

😅 legendre polynomial spherical Bessel function