Journal ArticleDOI
Generalized Hamiltonian dynamics
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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
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Strings with zero tension
Ricardo Amorim,J. Barcelos-Neto +1 more
TL;DR: In this paper, the authors describe bosonic strings by using a kind of Lagrangian compatible with the zero tension limit, developed on an extended configuration space and the quantization is carried out with details.
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Canonical formalism for gauge theories with application to monopole
TL;DR: In this article, a canonical formalism for Yang-Mills theories with magnetic monopole solutions was developed, using Dirac brackets, which may be applied to classical YangMills theory with 't Hooft-Polyakov type magnetic monopoles.
Journal ArticleDOI
Hamilton-Jacobi analysis of the four-dimensional BF model with cosmological term
TL;DR: In this article, the Hamilton-Jacobi constraint analysis of the four-dimensional background field with cosmological term was performed. And the complete set of involutive Hamiltonians that guarantee the integrability of the system and identify the reduced phase-space was obtained.
Journal ArticleDOI
NB BLG model in N=8 superfields
TL;DR: In this paper, the N = 8 superfield description of the Bagger-Lambert-Gustavsson (BLG) model in its Nambu bracket (NB) realization is developed.
Journal ArticleDOI
Cohomology and deformations of 3-Lie colour algebras
TL;DR: In this article, the concept of -Lie colour algebras is introduced and the cohomology theory of 3-Lie color algaes is developed, which is a generalization of the traditional -Lie algebases.
References
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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.