Explaining the quantum mechanism of hydrogen spectrum by the Fourier series energy field formula

In the previous paper, we gave a new Fourier series expression of the relativistic equation mass-velocity relation.  According to the matter wave theory, a new quantum mechanism explanation of quantum tunneling effect, hydrogen atom spectrum and other experimental phenomena is given by using the energy field formula of quantum mechanics in the form of Fourier series. It is deduced that the classical Rydberg formula is only an approximate simplified form of our new formula. Compared with the traditional quantum mechanics theory and formula, its mathematical logic is more perfect, simpler and more accurate. It can also give a reasonable and more consistent explanation to other series of quantum mechanics experimental phenomena.