The talk presents solution of quantum problem of neutron propagation in the magnetic field with multipole field expansion. Rigorous solution of the Pauli equation for neutron reveals existence of two solutions, finite and infinite, for any multipole configuration. As an example, the authors present detailed study of neutron motion in quadrupole and sextupole magnets. The predictions agree with the results of Stern-Gerlach experiment for neutrons. To verify existence of finite and infinite motion, the authors discuss an experiment which could be performed in the Budker Insitute of Nuclear Physics using existing equipment. The talk finishes with a discussion of neutron storage ring with straight section and discrete magnets focusing the beam.