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 
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/
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     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},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a15/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Khaberlen U., Mering M., YaMR vysokogo razresheniya v tverdykh telakh, Mir, M., 1980

[2] Stombotne R. L., Hahn E. L., Phys. Rev., 133A (1964), 1616 | DOI

[3] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974 | MR | Zbl

[4] Buishvili L. L., Menabde M. G., ZhETF, 77 (1979), 2435 | MR

[5] Buishvili L. L., Menabde M. G., TMF, 44:3 (1980), 414–420

[6] Abragam A., Yadernyi magnetizm, IL, M., 1963

[7] Goldman M., Spinovaya temperatura i YaMR v tverdykh telakh, Mir, M., 1972