Calogero-Moser-Sutherland systems
Mathematical Physics
2024-08-12 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We discuss integrable many-body systems in one dimension of Calogero-Moser-Sutherland type, both classical and quantum as well as nonrelativistic and relativistic. In particular, we consider fundamental properties such as integrability, the existence of explicit solutions as well as action-angle and bispectral dualities that relate different such systems. We also briefly discuss the early history of the subject and indicate connections with other integrable systems.
Cite
@article{arxiv.2312.12932,
title = {Calogero-Moser-Sutherland systems},
author = {Martin Hallnäs},
journal= {arXiv preprint arXiv:2312.12932},
year = {2024}
}
Comments
20 pages. Invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. In v2 we have made some minor revisions and corrections