Geodesic
Magnon-magnon interaction in a~square lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 3, pp. 424-429

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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. 
@article{TMF_1976_28_3_a13,
     author = {V. K. Tkachenko},
     title = {Magnon-magnon interaction in a~square lattice},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {424--429},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_3_a13/}
}
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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/