Hamilton-Jacobi theory for Hamiltonian systems with non-canonical symplectic structures

Details Hamilton-Jacobi theory for Hamiltonian systems with non-canonical symplectic structures Hamilton-Jacobi theory for Hamiltonian systems with non-canonical symplectic structures

2006-01-31

arxiv.org/abs/gr-qc/0601140v1

Annals Phys. 321 (2006) 318-330

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no figures

Scientific paper

10.1016/j.aop.2005.08.008

A proposal for the Hamilton-Jacobi theory in the context of the covariant formulation of Hamiltonian systems is done. The current approach consists in applying Dirac's method to the corresponding action which implies the inclusion of second-class constraints in the formalism which are handled using the procedure of Rothe and Scholtz recently reported. The current method is applied to the nonrelativistic two-dimensional isotropic harmonic oscillator employing the various symplectic structures for this dynamical system recently reported.

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