The quantum integrability of the generalized elliptic Ruijsenaars models is shown. These models are mathematically related to the Macdonald operator and the Macdonald-Koornwinder operator, which appeared in the q-orthogonal polynomial theories. We construct these integrable families by using the Yang-Baxter equation and the reflection equation.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)