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Hamilton–Jacobi and Symplectic Analysis of a Particle Constrained on a Circle
Authors:Dumitru Baleanu  Yurdahan Güler
Institution:(1) Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey
Abstract:Hamilton-Jacobi and modified Faddeev-Jackiw methods were applied to investigate the motion of a particle moving on a circle. The results of both methods were found to be equivalent with those of Dirac's formalism. Besides, the importance of the Lagrange multipliers was analyzed and the action of the second-class constrained system was given.
Keywords:Lagrangian and Hamiltonian approach  Hamilton-Jacobi formalism
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