Journal of Physics A Mathematical and General
BoundaryK-matrix, elliptic Dunkl operator and quantum many-body systems
Kazuhiro Hikami
Abstract
The infinite-dimensional representation of the boundary K-operator (the solution of the reflection equation) is considered. The trigonometric K-matrix is studied as a degenerate case of the elliptic operator. A method to construct the elliptic Dunkl operator is proposed, and the relationship with the quantum many-body problem is also discussed.