The Toda lattice is super-integrable
SourcePhysica A: Statistical Mechanics and its Applications
Google Scholar check
MetadataShow full item record
We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2 N - 1 independent constants of motion, where N is the number of degrees of freedom. The main ingredient of the proof is the use of some special action-angle coordinates introduced by Moser to solve the equations of motion. © 2006 Elsevier B.V. All rights reserved.