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TMF, 1975, Volume 24, Number 2, Pages 283–287 (Mi tmf4013)  

Problem of two magnons in a Bethe chain

V. K. Tkachenko


Abstract: 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.

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English version:
Theoretical and Mathematical Physics, 1975, 24:2, 833–836

Bibliographic databases:

Received: 19.11.1974

Citation: V. K. Tkachenko, “Problem of two magnons in a Bethe chain”, TMF, 24:2 (1975), 283–287; Theoret. and Math. Phys., 24:2 (1975), 833–836

Citation in format AMSBIB
\Bibitem{Tka75}
\by V.~K.~Tkachenko
\paper Problem of two magnons in a~Bethe chain
\jour TMF
\yr 1975
\vol 24
\issue 2
\pages 283--287
\mathnet{http://mi.mathnet.ru/tmf4013}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=469002}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 24
\issue 2
\pages 833--836
\crossref{https://doi.org/10.1007/BF01029070}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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