Calogero—Moser—Sutherland Systems
Book chapter, 2025
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.
Integrable systems
Multivariable special functions
Many-body systems
Ruijsenaars—Schneider systems
Action-angle dualities
Calogero—Moser—Sutherland systems
Bispectrality
Author
Martin Hallnäs
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Encyclopedia of Mathematical Physics (2nd edition)
Subject Categories
Mathematics
DOI
10.1016/B978-0-323-95703-8.00033-1