Dynamical Symmetries and Nambu Mechanics
High Energy Physics - Theory
2016-09-06 v2
Abstract
It is shown that several Hamiltonian systems possessing dynamical or hidden symmetries can be realized within the framework of Nambu's generalized mechanics. Among such systems are the SU(n)-isotropic harmonic oscillator and the SO(4)-Kepler problem. As required by the formulation of Nambu dynamics, the integrals of motion for these systems necessarily become the so-called generalized Hamiltonians. Furthermore, in most of these problems, the definition of these generalized Hamiltonians is not unique.
Cite
@article{arxiv.hep-th/9501141,
title = {Dynamical Symmetries and Nambu Mechanics},
author = {Rupak Chatterjee},
journal= {arXiv preprint arXiv:hep-th/9501141},
year = {2016}
}
Comments
9 pages, Latex, Section four on the SO(4)-Kepler problem has been expanded