Exact Solution of the Quantum Calogero-Gaudin System and of its q-Deformation
arXiv:solv-int/9910008 · doi:10.1063/1.1308508
Abstract
A complete set of commuting observables for the Calogero-Gaudin system is diagonalized, and the explicit form of the corresponding eigenvalues and eigenfunctions is derived. We use a purely algebraic procedure exploiting the co-algebra invariance of the model; with the proper technical modifications this procedure can be applied to the $q-$deformed version of the model, which is then also exactly solved.
20 pages Latex