Stochastic dynamics of multiple scattering and energy losses of channeled particles
A system of equations describing the evolution of the mean-square quantum fluctuations of the transverse coordinate and momentum operators and the evolution of the mean-square fluctuations of the transverse coordinate and momentum with respect to the classical trajectory of channeled particle is constructed using linearized Heisenberg equations. The energy losses of channeled particles on crystal electrons and the mean-square fluctuations of the transverse coordinate and momentum are calculated within the same formalism.