A number of spin resonance properties can be measured in terms of rather novel if not always generally useful non-adiabatic effects. We consider the influence of spin hyperfine coupling upon laser excited optical transitions or upon electron paramagnetic resonance excited electron states. I. NON-ADIABATIC OR ZEEMAN FIELD SWITCHING As shown in Figure 1, suppose two coupled ground states, mixed by some internal spin-spin or spin-rotation interaction C, are expressed by the wave functions with state b|2> a|2> (1) remaining a pure state. Mixing coefficients are given by a and b with a 2 + b 2 = 1. When allowed external Zeeman or Stark interactions are switched on, which exceed the internal interaction energy C, then states |l'> and |2'> become pure basis states |l> and |2> respectively as a •* • 1 and b * 0. This problem is solved for four levels explictly in ref. 1 for the case of spin-rotation interaction in 13 CH3F. For any non-adiabatic jump in eigensplitting between levels |l'> and |2'>, the initial density matrix p of the three-level system is transformed to a f in
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