Anomalous magnetic moment of electron for an adiabatically changed Finslerian manifold.

In present work, we resolve the unified equation of motion for a quantum system on the adiabatically changed Finsler manifold, suggested by Lipovka (2017), for the particular case of the hydrogen atom. The radial part for the equation of motion is obtained to model a hydrogen atom, where the electron and the nucleus rotate around a center of mass. By using this expression, the total energy of the system under consideration (charged particles and EM field) is obtained.
By expanding in series in the small parameter α = v/c , the value of the anomalous magnetic moment of the electron is obtained. The value calculated by J. Swinger = α /2π≈0.0011614 is obtained as a particular case.