Completely integrable systems and groups generated by reflections.
We introduce a class of quantum Hamiltonian systems with delta-function potential, related to groups generated by reflections. They generalize the system of equal elastic particles on the line. We show that these systems are completely integrable and we integrate them explicitly. Then we apply our technique to obtain identities for groups generated by reflections.
Gutkin
E
E
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112.
Sutherland
B
B