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

2004/11/18 by Juan M. Romero, Romero, Juan M., Adolfo Zamora +1
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0411170

3 pages, no figures

arxiv created 2004/11/18 · arxiv updated 2009/12/01

Abstract

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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