At the beginning of the first chapter the derivation from the Lagrange and Hamilton to the motion equation of a charged particle in magnetic fields in classic mechanics is presented.

On the basis of classical electrodynamics, the classical motion of non-relativistic charged particle affected by radiantly damping force in equally magnetic field was discussed in the peper.

Double wave quantum theory is applied to describe the motion of charged particle in a uniform magnetic field. This description of the motion of the particle is complete.