(Solution) - Using the same approach as was used to derive Eq -(2025 Original AI-Free Solution)

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Using the same approach as was used to derive Eq. 11.3 on page 383, show that a z-rotation through an angle ? of the operator i- generates a phase factor of exp(+i ?).
State the overall coherence order, or orders, of each of the following operators:
1+ 2- 21+2+3z 1x 21z2y (21x 2x + 21y2y)
You may need to express the operators x and y in terms of + and _ using Eq. 11.4 on page 383.
In a heteronuclear spin system a coherence order can be assigned to each spin, I and S. Assign such orders for the following operators:

Following the discussion in section 11.1.2 on page 384, write down the result of allowing each of the following operators to evolve freely for a time r: