  Quantum spin-flip transitions are of great importance in the synchrotron
radiation theory. For better understanding of the nature of this phenomenon, it
is necessary to except the effects connected with the electric charge radiation
from observation. This fact explains the suggested choice of the spin-flip
radiation model in the form of radiation of the electric neutral Dirac-Pauli
particle moving in the homogeneous magnetic field. It is known that in this
case, the total radiation in the quantum theory is conditioned by spin-flip
transitions. The idea is that spin-flip radiation is represented as a
nonstationary process connected with spin precession. We shall shown how to
construct a solution of the classical equation of the spin precession in the
BMT theory having the exact solution of the Dirac-Pauli equation.Thus, one will
find the connection of the quantum spin-flip transitions with classical spin
precession.
