HamiltonJacobi theory for Hamiltonian systems with noncanonical symplectic structures
Abstract
A proposal for the HamiltonJacobi 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 secondclass constraints in the formalism which are handled using the procedure of Rothe and Scholtz recently reported. The current method is applied to the nonrelativistic twodimensional isotropic harmonic oscillator employing the various symplectic structures for this dynamical system recently reported.
 Authors:
 Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del I.P.N., Av. I.P.N. No. 2508, 07000 Ciudad de Mexico (Mexico). Email: amerino@fis.cinvestav.mx
 Departamento de Fisica, Centro de Investigacion y de Estudios Avanzados del I.P.N., Av. I.P.N. No. 2508, 07000 Ciudad de Mexico (Mexico). Email: merced@fis.cinvestav.mx
 Publication Date:
 OSTI Identifier:
 20766984
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics (New York); Journal Volume: 321; Journal Issue: 2; Other Information: DOI: 10.1016/j.aop.2005.08.008; PII: S00034916(05)001405; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HAMILTONJACOBI EQUATIONS; HAMILTONIANS; HARMONIC OSCILLATORS; RELATIVISTIC RANGE; TWODIMENSIONAL CALCULATIONS
Citation Formats
MartinezMerino, Aldo A., and Montesinos, Merced. HamiltonJacobi theory for Hamiltonian systems with noncanonical symplectic structures. United States: N. p., 2006.
Web. doi:10.1016/j.aop.2005.08.008.
MartinezMerino, Aldo A., & Montesinos, Merced. HamiltonJacobi theory for Hamiltonian systems with noncanonical symplectic structures. United States. doi:10.1016/j.aop.2005.08.008.
MartinezMerino, Aldo A., and Montesinos, Merced. Wed .
"HamiltonJacobi theory for Hamiltonian systems with noncanonical symplectic structures". United States.
doi:10.1016/j.aop.2005.08.008.
@article{osti_20766984,
title = {HamiltonJacobi theory for Hamiltonian systems with noncanonical symplectic structures},
author = {MartinezMerino, Aldo A. and Montesinos, Merced},
abstractNote = {A proposal for the HamiltonJacobi 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 secondclass constraints in the formalism which are handled using the procedure of Rothe and Scholtz recently reported. The current method is applied to the nonrelativistic twodimensional isotropic harmonic oscillator employing the various symplectic structures for this dynamical system recently reported.},
doi = {10.1016/j.aop.2005.08.008},
journal = {Annals of Physics (New York)},
number = 2,
volume = 321,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}
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