How Algebraic Bethe Ansatz works for integrable model
  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. 
L.D. Faddeev (St.Petersburg Branch of Steklov Mathematical Institute,   Research Institute for Theoretical Physics Universit...