Quantum systems related to root systems and radial parts of Laplace operators
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0203031,
title = {Quantum systems related to root systems and radial parts of Laplace operators},
author = {M. A. Olshanetsky and A. M. Perelomov},
journal= {arXiv preprint arXiv:math-ph/0203031},
year = {2007}
}
Comments
an old paper (1978) posted for archival purposes