Superintegrability of the Calogero–Moser system: Constants of motion, master symmetries, and time-dependent symmetries

Abstract

The classical n-dimensional Calogero–Moser system is a maximally superintegrable system endowed with a rich variety of symmetries and constants of motion. In the first part of the article some properties related with the existence of several families of constants of motion are analyzed. In the second part, the master symmetries and the time-dependent symmetries of this system are studied.