Additional Constants of Motion for a Discretization of the Calogero--Moser Model

TL;DR

This paper demonstrates the maximal super-integrability of a discretized Calogero--Moser model by deriving explicit formulas for its additional constants of motion, highlighting its enhanced symmetry properties.

Contribution

It provides an explicit formula for additional constants of motion, establishing the super-integrability of a specific discretization of the Calogero--Moser model.

Findings

Proves maximal super-integrability of the discretized model

Derives explicit formulas for additional constants of motion

Shows enhanced symmetry in the discretized system

Abstract

The maximal super-integrability of a discretization of the Calogero--Moser model introduced by Nijhoff and Pang is presented. An explicit formula for the additional constants of motion is given.