Geodesic
Single-particle Green's function of a ferromagnet with single-ion anisotropy in the presence of a magnetic field of arbitrary direction
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 299-313 
F. P. Onufrieva. Single-particle Green's function of a ferromagnet with single-ion anisotropy in the presence of a magnetic field of arbitrary direction. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 299-313. http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a13/
@article{TMF_1983_54_2_a13,
     author = {F. P. Onufrieva},
     title = {Single-particle {Green's} function of a~ferromagnet with single-ion anisotropy in the presence of a~magnetic field of arbitrary direction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {299--313},
     year = {1983},
     volume = {54},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a13/}
}
TY  - JOUR
AU  - F. P. Onufrieva
TI  - Single-particle Green's function of a ferromagnet with single-ion anisotropy in the presence of a magnetic field of arbitrary direction
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 299
EP  - 313
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a13/
LA  - ru
ID  - TMF_1983_54_2_a13
ER  - 
%0 Journal Article
%A F. P. Onufrieva
%T Single-particle Green's function of a ferromagnet with single-ion anisotropy in the presence of a magnetic field of arbitrary direction
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 299-313
%V 54
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a13/
%G ru
%F TMF_1983_54_2_a13

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

A general method of quantum-mechanical solution of the problem of the behavior of a ferromagnet with single-ion anisotropy in a magnetic field of arbitrary direction is developed. In it, the single-ion anisotropy is treated exactly and the exchange interaction in the random phase approximation. The method is based on preliminary implementation of unitary transformations of the Hamiltonian in the space of operators of the algebra of $SU(2S+1)$. The single-particle matrix Green's function constructed from Hubbard type operators for $S=1$ is studied. The spectrum of spin excitations, equations for the parameters of the transformations, and equations for the order parameters are constructed, and the ground state of the ferromagnet is determined more accurately.

[1] Potapkov N. A., TMF, 8:3 (1971), 381–391

[2] Noskova L. M., FMM, 33:4 (1972), 698–711

[3] Kitaev V. N., Kaschenko M. P., Kurbatov L. V., ZhETF, 65:6 (1973), 2334–2342 | MR

[4] Yakovenko V. P., Bril V. E., Druzhinin V. V. i dr., ZhETF, 78:1 (1980), 157–164

[5] Rudoi Yu. G., Tserkovnikov Yu. A., TMF, 25:2 (1975), 196–212

[6] Kazakov A. A., TMF, 26:1 (1976), 117–125 | MR

[7] Loktev V. M., Ostrovskii V. S., FTT, 20:10 (1978), 3086–3093; 21:12 (1979), 3559–3566 | MR

[8] Onufrieva F. P., ZhETF, 80:6 (1981), 2372–2379

[9] Onufrieva F. P., FTT, 23:9 (1981), 2664–2673 | MR

[10] Varshalovich D. A., Moskalev A. N., Khersonskii V. K., Kvantovaya teoriya uglovogo momenta, Nauka, L., 1975

[11] Tyablikov S. V., Metody kvantovoi teorii magnetizma, Nauka, M., 1975 | MR