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Parametrization of Spin Rotation and the Two-Level Problem

The evolution behavior of a spin system subject to a time-varying magnetic field and the relevant two-level problem essentially exhibit like a rotation in a three-dimensional space. It is shown that the parametrization of this rotation is shifted into solving the time-dependent Schrödinger equation of a spin-1/2 system and the rotation parameters can thus be obtained by a straightforward method.