The Toda lattice is super-integrable

Maria A. Agrotis, Pantelis A. Damianou and Christodoulos Sophocleous

Physica A: Statistical Mechanics and its Applications, 2006, vol. 365, issue 1, 235-243

Abstract: 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.

Keywords: Toda lattice; Super-integrable systems; Poisson brackets (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:365:y:2006:i:1:p:235-243

DOI: 10.1016/j.physa.2006.01.001

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