Solutions of the Bethe Equations for the XXZ Model

O. Babelon, Hector J. de Vega, C.-M. Viallet

Klaus Fabricius, Barry M. McCoy

Anatol N. Kirillov, Nicolai Reshetikhin

Harald Grosse, Ernst Raschhofer

V. Tarasov

It is shown that solutions of the Bethe ansatz equations for the inhomogeneous arbitrary spin XXX or XXZ model satisfy certain identites which generalize those, recently obtained by K.Fabricius and B.M.McCoy, for solutions of the Bethe ansatz equations for the six-vertex model. Even in the last case, the given proof is simpler than the original one.

А.М. Калиев

we study the numerical solutions of the Bethe ansatz equations for the inhomogeneous anisotropic XXZ Heisenberg model with a finite number of spins, with four inverted spins.Having determined the phases of the wave functions and using N-periodicity, we obtained numerical solutions for the system of Bethe equations of the anisotropic antiferromagnetic XXZ Heisenberg model.Using algebraic Bethe ansatz, various pulse and energy configurations for these states were given.