Geodesic
Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic Heisenberg ferromagnet with interaction of second neighbours
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 155-161 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We investigate a physical system of two magnons in the one-dimensional anisotropic Heisenberg ferromagnet with the interaction up to two neighbours. We study the spectrum and bound states of the Hamiltonian of the two-magnon system. It is established that in some cases additional bound states can appear or disappear in comparison with the isotropic case. 
@article{TMF_1996_107_1_a12,
     author = {S. M. Tashpulatov},
     title = {Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic {Heisenberg} ferromagnet with interaction of second neighbours},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {155--161},
     year = {1996},
     volume = {107},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a12/}
}
TY  - JOUR
AU  - S. M. Tashpulatov
TI  - Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic Heisenberg ferromagnet with interaction of second neighbours
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1996
SP  - 155
EP  - 161
VL  - 107
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a12/
LA  - ru
ID  - TMF_1996_107_1_a12
ER  - 
%0 Journal Article
%A S. M. Tashpulatov
%T Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic Heisenberg ferromagnet with interaction of second neighbours
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1996
%P 155-161
%V 107
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a12/
%G ru
%F TMF_1996_107_1_a12
S. M. Tashpulatov. Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic Heisenberg ferromagnet with interaction of second neighbours. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 1, pp. 155-161. http://geodesic.mathdoc.fr/item/TMF_1996_107_1_a12/

[1] Bethe H. A., Z. Phys., 71 (1931), 205 | DOI

[2] Fukuda N., Wortis M., J. Phys. Chem. Solids, 24 (1963), 1675–1677 | DOI

[3] Wortis M., Phys. Rew., 132:1 (1963), 85–97 | DOI | MR

[4] Majumdar C. K., J. Math. Phys., 10 (1969), 117 | MR

[5] Ono J., Mikado S., Oguchi T., J. Phys. Soc. Japan, 30:8 (1971), 358 | DOI

[6] Gochev I. G., TMF, 15:1 (1973), 120–126

[7] Gochev I. G., ZhETF, 61:4(10) (1971), 1674

[8] Izyumov Yu. A., Skryabin Yu. N., Statisticheskaya mekhanika magnitouporyadochennykh sistem, Nauka, M., 1987 | MR