On the theory of hyperfine structure of atomic levels

A relativistic wave equation is proposed whose solution leads to the appearance of hyperfine structure of levels of an electron in a Coulomb field. This structure is due to the difference between the magnetic moment of an electron and the Bohr magneton. The results of calculations are compared with data obtained by precise laser spectroscopy of the hydrogen atom. It is shown that the calculated spectra are in agreement with the experimental data.