Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Bertin, M. C."'
In this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term. The method is based on the construction of dynamical i
Externí odkaz:
http://arxiv.org/abs/2006.11637
We develop the Hamilton-Jacobi formalism for Podolsky's electromagnetic theory on the null-plane. The main goal is to build the complete set of Hamiltonian generators of the system, as well as to study the canonical and gauge transformations of the t
Externí odkaz:
http://arxiv.org/abs/1702.03914
In this paper, we study singular systems with complete sets of involutive constraints. The aim is to establish, within the Hamilton-Jacobi theory, the relationship between the Frobenius' theorem, the infinitesimal canonical transformations generated
Externí odkaz:
http://arxiv.org/abs/1409.2524
We construct the linear and quadratic polynomial dynamical invariants for the classical and quantum time-dependent harmonic oscillator driven by a time-dependent force. To obtain them, we use exclusively the associated equations of motion for the sys
Externí odkaz:
http://arxiv.org/abs/1409.2429
Publikováno v:
Class.Quant.Grav.28:175015,2011
In this work we study the theory of linearized gravity via the Hamilton-Jacobi formalism. We make a brief review of this theory and its Lagrangian description, as well as a review of the Hamilton-Jacobi approach for singular systems. Then we apply th
Externí odkaz:
http://arxiv.org/abs/1107.4115
Publikováno v:
Annals Phys.325:2499-2511,2010
We will analyze the constraint structure of the Einstein-Hilbert first-order action in two dimensions using the Hamilton-Jacobi approach. We will be able to find a set of involutive, as well as a set of non-involutive constraints. Using generalized b
Externí odkaz:
http://arxiv.org/abs/0911.2120
In this work we will develop the canonical structure of Podolsky's generalized electrodynamics on the null-plane. This theory has second-order derivatives in the Lagrangian function and requires a closer study for the definition of the momenta and ca
Externí odkaz:
http://arxiv.org/abs/0907.1078
Publikováno v:
Annals Phys.323:3137-3149,2008
In this work we discuss the natural appearance of the Generalized Brackets in systems with non-involutive (equivalent to second class) constraints in the Hamilton-Jacobi formalism. We show how a consistent geometric interpretation of the integrabilit
Externí odkaz:
http://arxiv.org/abs/0805.0379
Publikováno v:
Annals Phys.323:527-547,2008
In this work we analyze systems described by Lagrangians with higher order derivatives in the context of the Hamilton-Jacobi formalism for first order actions. Two different approaches are studied here: the first one is analogous to the description o
Externí odkaz:
http://arxiv.org/abs/hep-th/0701262
Publikováno v:
Mod.Phys.Lett. A20 (2005) 2873-2890
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 stru
Externí odkaz:
http://arxiv.org/abs/hep-th/0503064