  General quantum-mechanical description of relativistic particles and nuclei
with spin 1/2 channeled in bent crystals is performed with the use of the
cylindrical coordinate system. The previously derived Dirac equation in this
system is added by terms characterizing anomalous magnetic and electric dipole
moments. A transformation to the Foldy-Wouthuysen representation, a derivation
of the quantum-mechanical equations of motion for particles and their spins,
and a determination of classical limit of these equations are fulfilled in the
general case. A physical nature of main peculiarities of description of
particles and nuclei in the cylindrical coordinate system is ascertained.
