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

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

2004-11-18

arxiv.org/abs/physics/0411170v1

Physics

General Physics

3 pages, no figures

Scientific paper

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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