Multiple Quantum Coherence

Abstract

In Chapter 5 we introduced the density matrix as a powerful tool for the analysis of magnetic resonance experiments. In analyzing the case of spin ½, we saw that the diagonal elements of ϱ were connected with the magnetization parallel to the static field, and the off-diagonal elements were related to the transverse components through the equations

$$\langle {M^ + }(t)\rangle = \gamma \hbar \rho - + (t)and$$

(5.257a)

$$\langle {M_Z}(t)\rangle = \frac{{\gamma \hbar }}{2}[{\rho _{ + + }}(t) - {\rho _{ - - }}(t)].$$

(5.257b)