Dynamical symmetries and Nambu mechanics |
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Authors: | Rupak Chatterjee |
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Institution: | (1) Department of Physics, State University of New York at Stony Brook, 11794-3800 Stony Brook, NY, USA |
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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. |
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Keywords: | 70H99 58F07 |
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