IJPAM: Volume 85, No. 2 (2013)

A CONTINUUM OF HAMILTONIAN STRUCTURES
FOR THE TWO-DIMENSIONAL ISOTROPIC
HARMONIC OSCILLATOR

Juan M. Romero1, Adolfo Zamora2
1,2Department of Applied Mathematics and Systems
UAM-Cuajimalpa
Mexico, D.F. 01120, MEXICO


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.

Received: November 24, 2012

AMS Subject Classification: 70H05, 70H15

Key Words and Phrases: Hamilton's equations, symplectic structures, inverse problem

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DOI: 10.12732/ijpam.v85i2.9 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 2