M. A. Olshanetsky, A. M. Perelomov
Published 2002-03-18Version 1
The relation between quantum systems associated to root systems and radial parts of Laplace operators on symmetric spaces is established. From this it follows the complete integrability of some quantum systems.
Comments: an old paper (1978) posted for archival purposes
Journal: Funct. Anal. Appl. 12 (1978) 121-128
Co-existence of states in quantum systems
States of quantum systems and their liftings
Asymptotics for automorphisms of quantum systems on the lattice
