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

页码：505 / 512

页数：8

共 35 条

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