The Toda lattice is super-integrable

✍ Scribed by Maria A. Agrotis; Pantelis A. Damianou; Christodoulos Sophocleous

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 144 KB
• Volume: 365
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2006.01.001

✦ Synopsis

We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N À 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.