How Algebraic Bethe Ansatz works for integrable model

Details How Algebraic Bethe Ansatz works for integrable model How Algebraic Bethe Ansatz works for integrable model

1996-05-26

arxiv.org/abs/hep-th/9605187v1

Physics

High Energy Physics

High Energy Physics - Theory

Les-Houches lectures, 59 pages, Latex

Scientific paper

I study the technique of Algebraic Bethe Ansatz for solving integrable models and show how it works in detail on the simplest example of spin 1/2 XXX magnetic chain. Several other models are treated more superficially, only the specific details are given. Several parameters, appearing in these generalizations: spin $s$, anisotropy parameter $\ga$, shift $\om$ in the alternating chain, allow to include in our treatment most known examples of soliton theory, including relativistic model of Quantum Field Theory.

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