Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 2, pp. 281-288 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Instead of solving the set of the $2S$ equations for Green function of ferromagnetic with the single-ion anisotropy, it is suggested to solve a single equation for the parametric Green function. The solution of this equation is used for exact calculation of ferremagnet magnetization of spin $S=1$ with one and two sublattices. The approximate solution is found for arbitrary value of the spin.
@article{TMF_1975_23_2_a12,
     author = {A. A. Kazakov},
     title = {Perturbation theory for the {Green's} functions of the {Heisenberg} model with single-ion anisotropy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {281--288},
     year = {1975},
     volume = {23},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a12/}
}
TY  - JOUR
AU  - A. A. Kazakov
TI  - Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 281
EP  - 288
VL  - 23
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a12/
LA  - ru
ID  - TMF_1975_23_2_a12
ER  - 
%0 Journal Article
%A A. A. Kazakov
%T Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 281-288
%V 23
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a12/
%G ru
%F TMF_1975_23_2_a12
A. A. Kazakov. Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 2, pp. 281-288. http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a12/

[1] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, «Nauka», 1965 | MR

[2] N. A. Potapkov, TMF, 8 (1971), 381

[3] L. M. Noskova, FMM, 33 (1972), 698

[4] I. N. Bronshtein, K. A. Semendyaev, Spravochnik po matematike, Fizmatgiz, 1962, str. 132

[5] N. I. Iutin, A. A. Kazakov, N. L. Chistyakov, TMF, 20 (1974), 126

[6] A. A. Kazakov, FTT, 16 (1974), 1386

[7] H. B. Callen, Phys. Rev., 130 (1963), 890 | DOI | Zbl