Exact Solution of the Quantum Calogero-Gaudin System and of its q-Deformation

Details Exact Solution of the Quantum Calogero-Gaudin System and of its q-Deformation Exact Solution of the Quantum Calogero-Gaudin System and of its q-Deformation

1999-10-18

arxiv.org/abs/solv-int/9910008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages Latex

Scientific paper

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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