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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {1982},
     volume = {51},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a15/}
}
TY  - JOUR
AU  - L. L. Buishvili
AU  - D. V. Malazoniya
AU  - M. G. Menabde
TI  - Dynamical response of a spin system to the sudden application of a constant magnetic field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 299
EP  - 304
VL  - 51
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a15/
LA  - ru
ID  - TMF_1982_51_2_a15
ER  - 
%0 Journal Article
%A L. L. Buishvili
%A D. V. Malazoniya
%A M. G. Menabde
%T Dynamical response of a spin system to the sudden application of a constant magnetic field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 299-304
%V 51
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a15/
%G ru
%F TMF_1982_51_2_a15
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/

[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