Canonical transformations of the extended phase space, Toda lattices and the Stackel family of integrable systems

被引：13
|
作者：
Tsiganov, AV [1 ]
机构：
[1] St Petersburg State Univ, Inst Phys, Dept Math & Computat Phys, St Petersburg 198904, Russia
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 22期
关键词：
D O I：
10.1088/0305-4470/33/22/318
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider some examples of canonical transformations of the extended phase space, which map a completely integrable system into another completely integrable system. The proposed transformations are closed to the known Maupertuis-Jacobi mappings and to the Kepler change of the time. Using the Kepler transformation we construct new integrable systems related to the Toda lattices and the Stackel family of integrable systems.
引用
收藏
页码：4169 / 4182
页数：14
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