Hamiltonian and quasi-Hamiltonian systems, Nambu-Poisson structures and symmetries

被引：10

作者：

Carinena, Jose F. ^{[1
,2
]}

Guha, Partha ^{[3
,4
]}

Ranada, Manuel F. ^{[1
,2
]}

机构：

[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

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

[3] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

[4] SN Bose Natl Ctr Basic Sci, Kolkata 700098, W Bengal, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 33期

关键词：

D O I：

10.1088/1751-8113/41/33/335209

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The theory of Hamiltonian and quasi-Hamiltonian systems with respect to Nambu-Poisson structures is studied. It is proved that if a dynamical system is endowed with certain properties related to the theory of symmetries then it can be considered as a quasi-Hamiltonian (or Hamiltonian) system with respect to an appropriate Nambu-Poisson structure. Several examples of this construction are presented. These examples are related to integrability and also to superintegrability.

引用

页数：11

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