It is said that most of what we know about quantum physics is the phenomena of particle interference and diffraction.
I think that these phenomena can also lead us to understand such a sophisticated problem as, for example, the structure of the atom is.At the beginning of solving this problem, it was necessary to use an equation to calculate the energy levels of electrons in an atom
The energy imparted by an electron to an atom decreases with the square of the principal quantum number.
In diffraction, the decrease in probability density works on a similar principle.
The decrease in radiation intensity works on the same principle.
So it was primarily a matter of creating an equation that is based on the above relationship, but has a wave character. The following equation applies to the hydrogen atom (Z=1)