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Teoreticheskaya i Matematicheskaya Fizika, 1976, Volume 28, Number 3, Pages 424–429 (Mi tmf4280)  
Magnon-magnon interaction in a square lattice

V. K. Tkachenko
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Abstract: 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.
Received: 12.12.1975
English version:
Theoretical and Mathematical Physics, 1976, Volume 28, Issue 3, Pages 887–890
DOI: https://doi.org/10.1007/BF01029184
Language: Russian
Citation: V. K. Tkachenko, “Magnon-magnon interaction in a square lattice”, TMF, 28:3 (1976), 424–429; Theoret. and Math. Phys., 28:3 (1976), 887–890
Citation in format AMSBIB
\Bibitem{Tka76}
\by V.~K.~Tkachenko
\paper Magnon-magnon interaction in a~square lattice
\jour TMF
\yr 1976
\vol 28
\issue 3
\pages 424--429
\mathnet{http://mi.mathnet.ru/tmf4280}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 28
\issue 3
\pages 887--890
\crossref{https://doi.org/10.1007/BF01029184}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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