Geodesic
On a  representation for spin operators and its use in the theory of magnetism
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 2, pp. 250-259 
V. G. Bar'yakhtar; D. A. Yablonskii. On a  representation for spin operators and its use in the theory of magnetism. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 2, pp. 250-259. http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a8/
@article{TMF_1975_25_2_a8,
     author = {V. G. Bar'yakhtar and D. A. Yablonskii},
     title = {On~a~ representation for spin operators and its use in the theory of magnetism},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {250--259},
     year = {1975},
     volume = {25},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a8/}
}
TY  - JOUR
AU  - V. G. Bar'yakhtar
AU  - D. A. Yablonskii
TI  - On a  representation for spin operators and its use in the theory of magnetism
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 250
EP  - 259
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a8/
LA  - ru
ID  - TMF_1975_25_2_a8
ER  - 
%0 Journal Article
%A V. G. Bar'yakhtar
%A D. A. Yablonskii
%T On a  representation for spin operators and its use in the theory of magnetism
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 250-259
%V 25
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1975_25_2_a8/
%G ru
%F TMF_1975_25_2_a8

Voir la notice de l'article provenant de la source Math-Net.Ru

A new representation is proposed which makes it possible to go from spin operators to some Bose operators. Transformation properties of these operators under rotations of the coordinate system are similar to transformation properties of the phonon operators under translations of the coordinate system. This makes it possible to take explicitly into account the symmetry of the Hamiltonian of interacting spin waves in all orders with respect to the interaction Hamiltonian. Explicit expression for the Hamiltonian of interacting spin waves in the long-wave limit is also found.

[1] T. Holstein, H. Primakoff, Phys. Rev., 58 (1940), 1098 | DOI | Zbl

[2] A. I. Akhiezer, J. Phys. USSR, 10 (1946), 217 | MR

[3] E. A. Turov, Fizicheskie svoistva magnitouporyadochennykh kristallov, Izd-vo AN SSSR, 1963, str. 211

[4] V. G. Baryakhtar, V. P. Krasnov, V. L. Sobolev, FTT, 15 (1973), 3039

[5] A. B. Harris, D. Kumar, B. J. Hohenberg, Phys. Rev., B3 (1971), 961 | DOI

[6] D. V. Volkov, A. A. Zheltukhin, Yu. P. Bliokh, FTT, 13 (1971), 1668 | MR

[7] Ferromagnitnyi rezonans, ed. S. V. Vonsovskii, Fizmatgiz, 1961, str. 34

[8] A. I. Akhiezer, V. G. Baryakhtar, S. V. Peletminskii, Spinovye volny, «Nauka», 1967