Geodesic
Dynamical response of a~spin system to the sudden application of a~constant magnetic field
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 299-304

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The Krylov–Bogolyubov–Mitropol'skii method of averaging is used to consider oscillations of the longitudinal magnetization which arise after the sudden application of a constant magnetic field. It is shown that oscillations are observed at frequencies which are multiples of the Zeeman frequency and they are damped with characteristic time $T_2\sim 1/\omega_\alpha$ (where $\omega_\alpha$ is the characteristic frequency associated with the dipole-dipole interaction). The proposed method can also be directly applied to describe other transient processes in magnetic resonance. 
@article{TMF_1982_51_2_a15,
     author = {L. L. Buishvili and D. V. Malazoniya and M. G. Menabde},
     title = {Dynamical response of a~spin system to the sudden application of a~constant magnetic field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {299--304},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a15/}
}
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L. L. Buishvili; D. V. Malazoniya; M. G. Menabde. Dynamical response of a~spin system to the sudden application of a~constant magnetic field. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 299-304. http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a15/