Using the same approach as was used to derive Eq. 11.3 on page 383, show that a

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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 ɸ of the operator i- generates a phase factor of exp(+i ɸ).
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:
Using the same approach as was used to derive Eq.

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:

Using the same approach as was used to derive Eq.
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