First Order Actions: a New View

Abstract

We analyse systems described by first order actions using the Hamilton-Jacobi (HJ) formalism for singular systems. In this study we verify that generalized brackets appear in a natural way in HJ approach, showing us the existence of a symplectic structure in the phase spaces of this formalism.

References in corpus (5)

• Hamilton-Jacobi formulation for singular systems with second order Lagrangians
• Hamilton-Jacobi approach to Berezinian singular systems
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• Generalization of the Hamilton-Jacobi approach for higher order singular systems
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Cited by in corpus (9)

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• Non-Involutive Constrained Systems and Hamilton-Jacobi Formalism
• Hamilton-Jacobi Approach for First Order Actions and Theories with Higher Derivatives
• Involutive constrained systems and Hamilton-Jacobi formalism
• Three-dimensional Background Field Gravity: A Hamilton-Jacobi analysis
• General Relativity in two dimensions: a Hamilton-Jacobi constraint analysis
• Hamilton-Jacobi approach for Regge-Teitelboim cosmology
• Hamilton-Jacobi formalism for Linearized Gravity
• Hamilton-Jacobi approach for linearly acceleration-dependent Lagrangians