On possibility of using the reduced description of the anisotropic Heisenberg paramagnet spin dynamics, and the NMR line-shape in solids
Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 3, pp. 452-468 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The problem of free induction decay calculations in solids is solved in quadratures. Existence of this solution is the consequence of the similarity relations between time correlation functions appearing in the infinite chain of the gearing differential equations. Thus, the reduced description of spin dynamics for the most spreading kinds of crystals becomes appropriate. General characteristics of the system are investigated and some theorems are proved. Theoretical results obtained for the present theory are in good agreement with experimental data.
@article{TMF_1996_106_3_a8,
     author = {V. L. Bodneva and A. A. Lundin and A. A. Milyutin},
     title = {On possibility of using the reduced description of the anisotropic {Heisenberg} paramagnet spin dynamics, and the {NMR} line-shape in solids},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {452--468},
     year = {1996},
     volume = {106},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_106_3_a8/}
}
TY  - JOUR
AU  - V. L. Bodneva
AU  - A. A. Lundin
AU  - A. A. Milyutin
TI  - On possibility of using the reduced description of the anisotropic Heisenberg paramagnet spin dynamics, and the NMR line-shape in solids
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1996
SP  - 452
EP  - 468
VL  - 106
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1996_106_3_a8/
LA  - ru
ID  - TMF_1996_106_3_a8
ER  - 
%0 Journal Article
%A V. L. Bodneva
%A A. A. Lundin
%A A. A. Milyutin
%T On possibility of using the reduced description of the anisotropic Heisenberg paramagnet spin dynamics, and the NMR line-shape in solids
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1996
%P 452-468
%V 106
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1996_106_3_a8/
%G ru
%F TMF_1996_106_3_a8
V. L. Bodneva; A. A. Lundin; A. A. Milyutin. On possibility of using the reduced description of the anisotropic Heisenberg paramagnet spin dynamics, and the NMR line-shape in solids. Teoretičeskaâ i matematičeskaâ fizika, Tome 106 (1996) no. 3, pp. 452-468. http://geodesic.mathdoc.fr/item/TMF_1996_106_3_a8/

[1] Resibois P., De Leener M., Phys. Rev., 152 (1966), 305; P. 318 | DOI

[2] Sauerman G., Wiegand D., Physica, 103B (1980), 309

[3] Lundin A. A., Makarenko A. V., ZhETF, 87 (1984), 999; Лундин А. А., ЖЭТФ, 102 (1992), 352

[4] Zobov V. E., TMF, 84:1 (1990), 111–119 | MR

[5] Bohm M. et al., Phys. Rev. B, 49 (1994), 417 | DOI

[6] Zobov V. E., Lundin A. A., ZhETF, 106 (1994), 1097

[7] Bloembergen N., Purcell E. M., Pound R. V., Phys. Rev., 73 (1948), 679 | DOI

[8] Abragam A., Yadernyi magnetizm, Gl. 4, 10, Mir, M., 1963

[9] Anderson P. W., Weiss P. R., Rev. Mod. Phys., 25 (1953), 269 ; J. Phys. Soc. (Japan), 9 (1954), 316 | DOI | DOI

[10] Kubo R., Tomita K., J. Phys. Soc. (Japan), 9 (1954), 888 | DOI

[11] Lowe I. J., Norberg R. E., Phys. Rev., 107 (1957), 46 | DOI | Zbl

[12] Lundin A. A., Makarenko A. V., Zobov V. E., J. Phys.: Condes. Matter., 2 (1990), 10131 | DOI

[13] Lado F., Memory J. D., Parker G. W., Phys. Rev. B, 4 (1971), 1406 | DOI

[14] Lundin A. A., Provotorov B. N., ZhETF, 70 (1976), 2201

[15] Danford N., Shvarts D., Lineinye operatory, ch. 1, gl. VII, IIL, M., 1962 | MR

[16] Lyusternik L. A., Sobolev V. I., Elementy funktsionalnogo analiza, GITTL, M.–L., 1951 | MR

[17] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989 | MR

[18] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1973 | MR

[19] Lundin A. A., Makarenko A. V., FTT, 28 (1986), 2885

[20] Sur A., Lowe I. J., Phys. Rev. B, 12 (1975), 4597 | DOI

[21] Engelsberg M., Lowe I. J., Phys. Rev. B, 10 (1974), 822 | DOI

[22] Fedotov V. D., Abdrashitova N. A., VMS, 22A (1980), 624

[23] Engelsberg M., Lowe I. J., Phys. Rev. B, 12 (1975), 3547 | DOI

[24] Engelsberg M., Chao Nai-Cheng, Phys. Rev. B, 12 (1975), 5043 | DOI