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Hamilton-Jacobi formalism to Podolsky electromagnetic theory on the null-plane
(2013-04-24)
In this work we develop the Hamilton - Jacobi formalism to study the Podolsky electromagnetic theory on the null-plane coordinates. We calculate the generators of the Podolsky theory and check the integrability conditions. ...
Hamilton-Jacobi formalism to Podolsky electromagnetic theory on the null-plane
(2013-04-24)
In this work we develop the Hamilton - Jacobi formalism to study the Podolsky electromagnetic theory on the null-plane coordinates. We calculate the generators of the Podolsky theory and check the integrability conditions. ...
Estudo sobre a teoria de vínculos de Hamilton-Jacobi
(Universidade Estadual Paulista (UNESP), 2015)
Topologically massive yang-mills field on the null-plane: A hamilton-jacobi approach
(2010-12-01)
Non-abelian gauge theories are super-renormalizable in 2+1 dimensions and suffer from infrared divergences. These divergences can be avoided by adding a Chern-Simons term, i.e., building a Topologically Massive Theory. In ...
Topologically massive yang-mills field on the null-plane: A hamilton-jacobi approach
(2010-12-01)
Non-abelian gauge theories are super-renormalizable in 2+1 dimensions and suffer from infrared divergences. These divergences can be avoided by adding a Chern-Simons term, i.e., building a Topologically Massive Theory. In ...
A Hamilton–Jacobi Theory for general dynamical systems and integrability by quadratures in symplectic and Poisson manifolds
(Elsevier Science, 2016-12-01)
In this paper we develop, in a geometric framework, a Hamilton–Jacobi Theory for general dynamical systems. Such a theory contains the classical theory for Hamiltonian systems on a cotangent bundle and recent developments ...
Estudo sobre a teoria de vínculos de Hamilton-Jacobi
(Universidade Estadual Paulista (Unesp), 2013-03-07)
The Hamilton-Jacobi theory is usually presented as an extension of the Hamilton's theory through the canonical transformations. However, the mathematician Constantin Carathéodory showed this theory, its existence and ...
Extended Hamilton-Jacobi theory, contact manifolds, and integrability by quadratures
(American Institute of Physics, 2020-01)
A Hamilton-Jacobi theory for general dynamical systems, defined on fibered phase spaces, has been recently developed. In this paper, we shall apply such a theory to contact Hamiltonian systems, as those appearing in ...
Hamilton–Jacobi theory and integrability for autonomous and non-autonomous contact systems
In this paper, we study the integrability of contact Hamiltonian systems, both time-dependent and independent. In order to do so, we construct a Hamilton–Jacobi theory for these systems following two approaches, obtaining ...