Higher-order superintegrability of a Holt related potential

被引：11

作者：

Campoamor-Stursberg, R. ^{[1
,2
]}

Carinena, J. F. ^{[3
,4
]}

Ranada, M. F. ^{[3
,4
]}

机构：

[1] Univ Complutense, Dept Geometria & Topol, E-28040 Madrid, Spain

[2] Univ Complutense, IMI, E-28040 Madrid, Spain

[3] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, E-50009 Zaragoza, Spain

[4] Univ Zaragoza, Fac Ciencias, IUMA, E-50009 Zaragoza, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2013年 / 46卷 / 43期

关键词：

3RD-ORDER INTEGRALS; HAMILTONIANS; DRACH;

D O I：

10.1088/1751-8113/46/43/435202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In a recent paper, Post andWinternitz (2011 J. Phys. A: Math. Theor. 44 162001) studied the properties of two-dimensional Euclidean potentials that are linear in one of the two Cartesian variables. In particular, they proved the existence of a potential endowed with an integral of third order and an integral of fourth order. In this paper we show that these results can be obtained in a more simple and direct way by noting that this potential is directly related to the Holt potential. It is proved that the existence of a potential with higher-order superintegrability is a direct consequence of the integrability of the family of Holt type potentials.

引用

页数：6

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