The Toda lattice is super-integrable
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Maria A. Agrotis; Pantelis A. Damianou; Christodoulos Sophocleous
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Article
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2006
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Elsevier Science
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English
β 144 KB
We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N Γ 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 b