AN INTEGRABLE 3-PARTICLE SYSTEM

被引：3

作者：

RANADA, MF

机构：

[1] Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 03期

关键词：

D O I：

10.1063/1.530585

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A study of the existence of some integrable systems with nonlinear constants of motion is presented using the approach of the theory of generalized (dynamical or hidden) symmetries. Two Lagrangians are considered, both obtained by modifying the Toda Lagrangian. First a two-particle system is studied and then the results are generalized to a three-particle system. It is shown that in both cases the Lagrangians possess nonlinear constants of motion in involution and, thus, they are integrable.

引用

页码：1219 / 1232

页数：14

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