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Factorized scattering for particles and solitons in integrable models. Heisenberg magnet and sine-Gordon model. Diagonalization of the Hamiltonian by Bethe Anzatz. Yang-Baxter equation. Transfer matrix, Lax pair and Bäcklund transformations.

[1] R. J. Baxter. Exactly Solved Models in Statistical Mechanics. New York: Academic Press, 1982. [2]   L. D. Faddeev. How Algebraic Bethe Ansatz works for integrable model. in Proceedings of Les Houches Summer School, Session LXIV, NATO ASI Series Elsevier, Amsterdam, pages 149–220, 1998, hep-th/9605187 [3] M. Gaudin. The Bethe Wavefunction. St Ives, Cambridge University Press, 2014.