Geodesic
Two-magnon systems in the one-dimensional non-Heisenberg ferromagnet with the interaction up to three neighbours with a~spin value $s=1$
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 262-268

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Two-magnon systems in the one-dimensional non-Heisenberg ferromagnet with the nearest, the second nearest and the third nearest neighbours interaction with a spin value $s=1$ are considered. It is proved that under $\Lambda=\pi$ and $J=J_1$ the system has a single two-magnon bound state, and under $\Lambda=\pi$, $J=2J_1$ it has three such states respectively. Their energies are calculated. If $\Lambda=\pi$ and $J\neq J_1$, $J\neq 2J_1$, the system is shown to have no more than five two-magnon bound states. 
@article{TMF_1996_107_2_a7,
     author = {S. M. Tashpulatov},
     title = {Two-magnon systems in the one-dimensional {non-Heisenberg} ferromagnet with the interaction up to three neighbours with a~spin value $s=1$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {262--268},
     publisher = {mathdoc},
     volume = {107},
     number = {2},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a7/}
}
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S. M. Tashpulatov. Two-magnon systems in the one-dimensional non-Heisenberg ferromagnet with the interaction up to three neighbours with a~spin value $s=1$. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 2, pp. 262-268. http://geodesic.mathdoc.fr/item/TMF_1996_107_2_a7/