Geodesic
Generalization of the Heisenberg Hamiltonian for a crystal with allowance for orbital degrees of freedom
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 1, pp. 114-119 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Generalised form of the Heisenberg Hamiltonian is proposed for crystals, the structure units of wrich include the group of the lowest states with different orbital as well as spin quantum numbers (the spin-orbital multiplet). The technique of irreducible tensor operators is used for constructing the Hamiltonian. Application of the Hamiltonian obtained to the study of orbital ordering in the model crystal with orbitally degenerated centres is considered. 
@article{TMF_1977_32_1_a9,
     author = {V. N. Kharkyanen},
     title = {Generalization of the {Heisenberg} {Hamiltonian} for a crystal with allowance for orbital degrees of freedom},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {114--119},
     year = {1977},
     volume = {32},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_1_a9/}
}
TY  - JOUR
AU  - V. N. Kharkyanen
TI  - Generalization of the Heisenberg Hamiltonian for a crystal with allowance for orbital degrees of freedom
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 114
EP  - 119
VL  - 32
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_32_1_a9/
LA  - ru
ID  - TMF_1977_32_1_a9
ER  - 
%0 Journal Article
%A V. N. Kharkyanen
%T Generalization of the Heisenberg Hamiltonian for a crystal with allowance for orbital degrees of freedom
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 114-119
%V 32
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1977_32_1_a9/
%G ru
%F TMF_1977_32_1_a9
V. N. Kharkyanen. Generalization of the Heisenberg Hamiltonian for a crystal with allowance for orbital degrees of freedom. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 1, pp. 114-119. http://geodesic.mathdoc.fr/item/TMF_1977_32_1_a9/

[1] W. Heisenberg, Z. Phys., 49 (1928), 619 | DOI | Zbl

[2] I. S. Griffth, The Theory of Transition Metal Jons, Univ. Press, Cambridge, 1961; second Edition, 1964

[3] G. F. Koster, Phys. Rev., 109 (1958), 227 | DOI | MR

[4] V. A. Sapozhnikov i dr., FTT, 16 (1974), 3340

[5] L. I. Korovin, E. K. Kudinov, FTT, 16 (1974), 2562; А. Г. Комаров, Л. И. Коровин, Е. К. Кудинов, ФТТ, 17 (1975), 2315

[6] V. L. Pokrovskii, G. V. Uimin, ZhETF, 61 (1971), 859

[7] V. S. Ostrovskii, V. N. Kharkyanen, Preprint ITF-76-118R, Kiev, 1976