Journal ArticleDOI
Generalized Hamiltonian dynamics
Reads0
Chats0
TLDR
The equations of dynamics were put into a general form by Lagrange, who expressed them in terms of a set of generalized coordinates and velocities as discussed by the authors, and an alternative general form was later given by Hamilton, in the form of coordinates and momenta.Abstract:
1. Introduction. The equations of dynamics were put into a general form
by Lagrange, who expressed them in terms of a set of generalized coordinates
and velocities. An alternative general form was later given by Hamilton, in
terms of coordinates and momenta. Let us consider the relative merits of the
two forms.read more
Citations
More filters
Journal ArticleDOI
Covariant quantization of infinite spin particle models, and higher order gauge theories
Ludde Edgren,Robert Marnelius +1 more
TL;DR: In this paper, the properties of a higher order infinite spin particle model are derived and a consistent covariant quantization is shown to exist, and a supersymmetric version for half-odd integer spins is quantized.
Journal ArticleDOI
Extra dimensions and nonlinear equations
TL;DR: In this paper, a nonlinear multi-component Euler-Monge partial differential equations are constructed in n spatial dimensions by dimension-doubling, a method that completely linearizes the problem.
Journal ArticleDOI
An Early Universe Model with Stiff Matter and a Cosmological Constant
G. Oliveira-Neto,G. A. Monerat,E. V. Corrêa Silva,C. Neves,Luana Gabrielle de França Ferreira +4 more
TL;DR: In this paper, the authors studied the quantum cosmology description of a Friedmann-Robertson-Walker model in the presence of a stiff matter perfect fluid and a negative cosmological constant.
Journal ArticleDOI
Unified formalism for higher-order variational problems and its applications in optimal control
TL;DR: In this paper, an intrinsic point of view is used to describe the equations of motion for higher-order variational problems with constraints on higherorder trivial principal bundles, which is an adaptation of the classical Skinner-Rusk approach for the case of Lagrangian dynamics with higher order constraints.
Journal ArticleDOI
Canonical formulation of Pais–Uhlenbeck action and resolving the issue of branched Hamiltonian
TL;DR: In this article, the authors proposed to fix acceleration at the endpoints/ boundary of a higher-order theory of gravity, which is not compatible to Ostrogradskis or Diracs technique of constrained analysis.
References
More filters
Journal ArticleDOI
Forms of Relativistic Dynamics
TL;DR: In this paper, the authors combine the restricted principle of relativity with the hamiltonian formulation of dynamics, which leads to the appearance of ten fundamental quantities for each dynamical system, namely the total energy, the total momentum and the 6-vector which has three components equal to the total angular momentum.
Journal ArticleDOI
Homogeneous variables in classical dynamics
TL;DR: The well-known methods of classical mechanics, based on the use of a Lagrangian or Hamiltonian function, are adequate for the treatment of nearly all dynamical systems met with in practice.