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Exact solution of a class of two-state periodic Schrödinger problems.

A neutral system coupled to an external periodic magnetic field is considered. The proposed form of the applied field allows us to solve the resulting coupled-channel two-state problem exactly. The transition probability is discussed in detail in a wide range of parameters of the system. The optimal parameters are identified exactly, thus providing maximum control of the experimental conditions in the degaussing problem. Special attention is paid to the problem of neutron-antineutron oscillations.