2005/07/20 by M. Agrotis, P. A. Damianou, C. Sophocleous · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:37K10 #msc:37J35 #msc:70H06
paper · pdf · doi:10.1016/j.physa.2006.01.001
8 pages
arxiv created 2005/07/20 · arxiv updated 2009/12/01
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.