Periodic integrable systems with delta-potentials (Q852413)

The authors investigate root system generalizations of the quantum Bose-gas on the circle with pair-wise delta-function interactions. A Dunkl-type commuting differential-reflection operators are defined that are associated with the system. Gutkin's generalization of the equivalence between the impenetrable Bose gas and the Fermi-gas are used for deriving the Bethe ansatz equations and the Bethe ansatz eigenfunctions.