Effect of a Nonselective 90 Pulse

To see the effect of a 90 pulse that is applied to both I and S, we can either consider the application of a 90X S to the density matrix in Eq. 11.53 or use the procedures outlined in Eqs. 11.29 and 11.30 to form the rotation matrices corresponding to 4 and Sx, then multiply them, as indicated in Eq. 11.28 to obtain 

This matrix and its inverse (formed in this instance by replacing each i by -i) applied to the density matrix in Eq. 11.50 gives 

As expected from Table 11.1, application of the nonselective pulse eliminates all terms on the diagonal and generates single quantum I and S coherneces. 

The time evolution of p follows the pattern of Eq. 11.54 and will not be given here. 

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