Geodesic
Problem of two magnons in a~Bethe chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 2, pp. 283-287

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The linear chain of spins $1/2$ with exchange interaction between nearest neighbors is considered. All eigenfunctions of two magnons are found in such a chain. A structure of long wave exitations and of exitations with wave vector equals to $\pi$ are clarified. The totality of this system of functions is proved. In other respects the work is an interpretation of the first half of the Bethe paper [1] of 1931. 
@article{TMF_1975_24_2_a15,
     author = {V. K. Tkachenko},
     title = {Problem of two magnons in {a~Bethe} chain},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {283--287},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_24_2_a15/}
}
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V. K. Tkachenko. Problem of two magnons in a~Bethe chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 2, pp. 283-287. http://geodesic.mathdoc.fr/item/TMF_1975_24_2_a15/