The Toda lattice is super-integrable

Details The Toda lattice is super-integrable The Toda lattice is super-integrable

2005-07-20

arxiv.org/abs/math-ph/0507051v1

Physics

Mathematical Physics

8 pages

Scientific paper

10.1016/j.physa.2006.01.001

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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