The Toda lattice is super-integrable
Date
2006Source
Physica A: Statistical Mechanics and its ApplicationsVolume
365Issue
1Pages
235-243Google Scholar check
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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.