Geodesic
Problem of two magnons in a Bethe chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 2, pp. 283-287 
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/
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     author = {V. K. Tkachenko},
     title = {Problem of two magnons in {a~Bethe} chain},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] H. Bethe, Z. Physik, 71 (1931), 205 | DOI | Zbl