Three superintegrable two-dimensional oscillators:: Superintegrability, nonlinearity, and curvature

被引：9
|
作者：
Carinena, J. F. [1 ]
Ranada, M. F. [1 ]
Santander, M. [1 ]
机构：
[1] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, E-50009 Zaragoza, Spain
来源：
PHYSICS OF ATOMIC NUCLEI | 2007年 / 70卷 / 03期
关键词：
D O I：
10.1134/S106377880703009X
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
The superintegrability of three different two-dimensional oscillators is studied: (i) a nonlinear oscillator dependent on a parameter lambda (two-dimensional version of the oscillator of Lakshmanan and Mathews), (ii) a nonlinear oscillator related to the Riccati equation, and (iii) the standard harmonic oscillator on constant curvature spaces. They can be considered as nonlinear deformations, or curvature-dependent versions, of the linear harmonic oscillator.
引用
收藏
页码：505 / 512
页数：8
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