The Toda lattice is super-integrable

We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N-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.

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Year of publication:	2006
Authors:	Agrotis, Maria A. ; Damianou, Pantelis A. ; Sophocleous, Christodoulos
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 365.2006, 1, p. 235-243
Publisher:	Elsevier
Subject:	Toda lattice \| Super-integrable systems \| Poisson brackets

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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