Dynamical Symmetries and Nambu Mechanics

Details Dynamical Symmetries and Nambu Mechanics Dynamical Symmetries and Nambu Mechanics

1995-01-31

arxiv.org/abs/hep-th/9501141v2

Lett. Math. Phys. 36 (1996) 117

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex, Section four on the SO(4)-Kepler problem has been expanded

Scientific paper

10.1007/BF00714375

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.

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