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arxiv: physics/0411170 · v1 · submitted 2004-11-18 · ⚛️ physics.gen-ph

A continuum of Hamiltonian structures for the two-dimensional isotropic harmonic oscillator

classification ⚛️ physics.gen-ph
keywords structurescontinuumhamiltonianharmonicisotropicoscillatortwo-dimensionalcoordinates
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We show the existence of a continuum of Hamiltonian structures for the two-dimensional isotropic harmonic oscillator. In particular, a continuum of Hamiltonian structures having noncommutative coordinates is presented. A study of the symmetries of these structures is performed and their physical plausibility is discussed.

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