The Toda lattice is super-integrable
数学物理
2009-11-11 v1 math.MP
摘要
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.
关键词
引用
@article{arxiv.math-ph/0507051,
title = {The Toda lattice is super-integrable},
author = {M. Agrotis and P. A. Damianou and C. Sophocleous},
journal= {arXiv preprint arXiv:math-ph/0507051},
year = {2009}
}
备注
8 pages