Abstract
The quantization of magnetic flux through the orbits of the hydrogen atom is investigated 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 effect of the magnetic moment of the proton on the magnetic flux through the orbit is studied in more detail. The energy difference due to opposite directions of the magnetic moment of the proton is shown to result in a fractional amount of 3/8 of the hyperfine level splitting of the lowest Bohr orbit. This ratio was also observed for the fine structure energy level splitting when the spin of the electron is neglected.
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Stein, WD.R. Quantization of Magnetic Flux Through the Orbits of the Hydrogen Atom. Int J Theor Phys 51, 1698–1703 (2012). https://doi.org/10.1007/s10773-011-1047-9
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DOI: https://doi.org/10.1007/s10773-011-1047-9