The bachelor thesis of Anna Volchkova is devoted to theoretical investigation of the Zeeman splitting in highly charged ions within the dual-kinetic-balance approach for solving the Dirac equation in axially-symmetric field (the A-DKB method). The formulae for the matrix elements of various one-electron and two-electron operators with the wave functions obtained by this method are derived in this work. Numerical computations for the hyperfine-interaction operator provided the corresponding correction to the g-factor of hydrogen-like ions with nonzero nuclear spin for the 1s, 2s, 2p_{1/2} and 2p_{3/2} states. Comparison between the high-precision experimental and theoretical data can lead to the determination of the nuclear magnetic moments with the unprecedented accuracy. The results for the 2p_{1/2} and 2p_{3/2} states, first obtained in this work, open the possibility for such investigations in boron-like ions.

Anna Volchkova works in my group for one and a half years. She is motivated and responsible student showing first-class skills in solving both numerical and analythical problems. She participates in the project "Zeeman splitting in highly-charged ions: novel approach to the non-linear effects" supervised by myself and supported by the FAIR-Russia Research Centre. In September she will give a poster presentation at the 18th International Conference on Physics of Highly Charged Ions. In my opinion, this bachelor thesis deserves the highest mark. I strongly recommend Anna Volchkova to continue study for MSc degree.