Periodic integrable systems with delta-potentials
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.
Dunkl-type differential-reflection operator
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