Quantized magnetic flux through the orbits of hydrogen-like atoms

I report on the investigation of the quantization of the magnetic flux through the orbits of the hydrogen atom on the basis of the Rutherford-Bohr model of the atom. In contrast to earlier studies based on magnetic fields originating from the magnetic moment of the proton, here the origin of the magnetic flux is taken to be the orbiting electron itself. The magnetic moment of the proton causes an additional magnetic flux through the atomic orbits resulting in small energy shifts of the atomic levels, which are studied in more detail. The energy difference due to opposite directions of the magnetic moment of the proton results in a fractional amount of 3/8 of the hyperfine level splitting of the lowest Bohr orbit. Such a ratio was also observed for the fine structure energy level splitting when the spin of the electron is neglected. Generalizations are discussed.