The Toda lattice is super-integrable

被引：23

作者：

Agrotis, MA ^{[1
]}

Damianou, PA ^{[1
]}

Sophocleous, C ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2006年 / 365卷 / 01期

关键词：

Toda lattice; super-integrable systems; Poisson brackets;

D O I：

10.1016/j.physa.2006.01.001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：235 / 243

页数：9

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