Abstract
The analytical statistical tensor approach, by use of the concatenation of perturbation factors, is demonstrated to be a powerful technique in the study of coherent transients, i.e., conventional pulsed NMR signals. Under a wide variety of inhomogeneous broadening mechanisms the method provides times of occurrence, amplitude, and phase dependences of spin-echo signals. Complicated spin dynamics for any spin value may be readily calculated. The method is illustrated with a number of examples from the literature, including spin-echo formation under combined magnetic-dipole and electric-quadrupole interactions, magnetoacoustic excitation of the nuclear spin echo, and the cumulative two-pulse spin echo. The developed formalism provides deeper insight into problems of pulsed NMR, giving a more general overview on some of them, thereby demonstrating the versatility and power of the analytical approach.
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