Exact solution of the quantum Calogero-Gaudin system and of its q deformation RID A-7283-2010

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 coalgebra 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. (C) 2000 American Institute of Physics. [S0022- 2488(00)03910-4]