Duality between integrable Stackel systems

被引：30

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 | 1999年 / 32卷 / 45期

关键词：

D O I：

10.1088/0305-4470/32/45/311

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Canonical transformations of the extended phase space are applied to the integrable Stackel systems. All these transformations may be associated with an ambiguity of the Abel map on the corresponding hyperelliptic curve. For some Stackel systems with two degrees of freedom the 2 x 2 Lax representations and the dynamical r-matrix algebras are constructed.

引用

页码：7965 / 7982

页数：18

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