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

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dc.creatorMartinez-Merino, Aldo A.
dc.creatorMontesinos, Merced
dc.date2006-01-31
dc.date.accessioned2026-07-07T06:58:07Z
dc.date.available2026-07-07T06:58:07Z
dc.descriptionA 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.
dc.description17 pages, no figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0601140
dc.identifierhttp://arxiv.org/abs/gr-qc/0601140
dc.identifierAnnals Phys. 321 (2006) 318-330
dc.identifierdoi:10.1016/j.aop.2005.08.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107230
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleHamilton-Jacobi theory for Hamiltonian systems with non-canonical symplectic structures
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