Affiliation: University of South Florida
Email: ismail@math.usf.edu
Title Of Talk: Bethe Ansatz Equation of XXZ Model
Abstract: This is joint work with S. S. Lin and S. S. Roan. In this article we have discovered a close relationship between the algebraic Bethe Ansatz of the spin $s$ XXZ model of a finite size and the $q$-Sturm-Liouville problem. We have demonstrated that solutions of the algebraic Bethe Ansatz give rise to the polynomial solutions of a second order $q$-difference equation in terms of Askey-Wilson operator. The more general form of algebraic Bethe Ansatz and the mathematical problems relevant to the physics of XXZ model are discussed. Furthermore, the similar correspondence between Bethe Ansatz of XXX model and the Sturm-Liouville type difference equation in terms of the Wilson operator has also been found.
Last update made Wed Feb 12 19:23:43 EST 2003.
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