Exact Solution of the Quantum Calogero-Gaudin System and of its q-Deformation
F. Musso, O. Ragnisco
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.
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