  The motion of a neutral atom endowed with a magnetic moment interacting with
the magnetic field is determined from the Ehrenfest-like equations of motion.
These equations for the average values of the translational and spin degrees of
freedom are derived from the Schr\"odinger-Pauli wave equation and they form a
set of nine coupled nonlinear evolution equations. The numerical and analytic
solutions of these equations are obtained for the combination of the rotating
magnetic field of a wave carrying orbital angular momentum and a static
magnetic field. The running wave traps the atom only in the transverse
direction while the standing wave traps the atom also in the direction of the
beam.
