K. Hikami, DUNKL OPERATOR-FORMALISM FOR QUANTUM MANY-BODY PROBLEMS ASSOCIATED WITH CLASSICAL ROOT SYSTEMS, Journal of the Physical Society of Japan, 65(2), 1996, pp. 394-401
The integrable quantum many-body systems associated with the classical
root systems are formulated in terms of the (trigonometric) Dunkl ope
rators. We define the Dunkl operators by use of the infinite-dimension
al representation of the R and K matrices for the Yang-Baxter equation
and the reflection equation. The eigenvalues of systems are also give
n.