Spin generalizations of both the elliptic Calogero-Marchioro-Wolfes model and the nonlinear Schrödinger model are studied. These models are three-body problems with two- and three-body potentials, and mathematically related with the exceptional root system of type 62. We construct the integrable differential-difference operator, the so-called Dunkl operator, based on the infinite-dimensional representation for solutions of the variant of the classical Yang-Baxter equation. By use of these operators, we investigate the integrability and the scattering matrices.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)