Geodesic
Magnon-magnon interaction in a square lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 3, pp. 424-429 
V. K. Tkachenko. Magnon-magnon interaction in a square lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 3, pp. 424-429. http://geodesic.mathdoc.fr/item/TMF_1976_28_3_a13/
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     author = {V. K. Tkachenko},
     title = {Magnon-magnon interaction in a~square lattice},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_3_a13/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A square lattice of spins 1/2 with exchange interaction between nearest neighbors is studied. The eigenfunctions of two magnons describing magnon-magnon scattering are found. Conditions of singular scattering are given. The magnon-magnon interaction cannot be neglected even in the long-wave limit.

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