The super-separability of the three-body inverse-square Calogero system

被引：35

作者：

Benenti, S ^{[1
]}

Chanu, C ^{[1
]}

Rastelli, G ^{[1
]}

机构：

[1] Univ Turin, Dept Math, I-10124 Turin, Italy

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 07期

关键词：

D O I：

10.1063/1.533369

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The geometrical theory of the variable separation for the Hamilton-Jacobi equation is applied to the classical three-body inverse-square Calogero system. It is proved that this system is separable in infinitely many inequivalent ways, related to five different kinds of separable webs in the Euclidean three-space, and the corresponding systems of independent first integrals in involution are computed. (C) 2000 American Institute of Physics. [S0022-2488(00)05707-8].

引用

页码：4654 / 4678

页数：25

共 23 条

[1] Intrinsic characterization of the variable separation in the Hamilton-Jacobi equation [J].