Reduction of superintegrable systems: The anisotropic harmonic oscillator

被引：57

作者：

Rodriguez, Miguel A. ^{[1
]}

Tempesta, Piergiulio ^{[1
]}

Winternitz, Pavel ^{[2
]}

机构：

[1] Univ Complutense, Dept Fis Teor 2, Fac Fis, E-28040 Madrid, Spain

[2] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

来源：

PHYSICAL REVIEW E | 2008年 / 78卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.78.046608

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We introduce a 2N-parametric family of maximally superintegrable systems in N dimensions, obtained as a reduction of an anisotropic harmonic oscillator in a 2N-dimensional configuration space. These systems possess closed bounded orbits and integrals of motion which are polynomial in the momenta. They generalize known examples of superintegrable models in the Euclidean plane.

引用

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