Dynamical Symmetries and Nambu Mechanics

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.

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

References in corpus (1)

• On Foundation of the Generalized Nambu Mechanics

Cited by in corpus (28)

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• Matrix Quantization of Classical Nambu Brackets and Super $p$-Branes
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• Jacobi last multiplier and two-dimensional superintegrable oscillators
• On the Structure Constants of Volume Preserving Diffeomorphism Algebra
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