Off-Shell Bethe Ansatz Equation for Gaudin Magnets
arXiv:nlin/0008002 · doi:10.1016/S0550-3213(00)00752-5
Abstract
The semi-classical limit of the algebraic Bethe Ansatz method is used to solve the theory of Gaudin models. Via the off-shell method we find the spectra and eigenvectors of the N-1 independent Gaudin Hamiltonians with symmetry osp(2|1). We also show how the off-shell Gaudin equation solves the trigonometric Knizhnik- Zamolodchikov equation.
21 pages, LaTex