On a Trivial Family of Noncommutative Integrable Systems

Abstract

We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these deformations to construct a new trivial family of noncommutative integrable systems.

References in corpus (2)

• On the Darboux-Nijenhuis Variables for the Open Toda Lattice
• Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables