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
Citations
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The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models
TL;DR: In this paper, the main classical Ampere's and Lorentz laws derivations are revisited and their relationships with the modern vacuum field theory approach to modern relativistic electrodynamics are demonstrated.
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Generators of Local Supersymmetry Transformation from First Class Constraints
TL;DR: In this paper, the generator of local supersymmetry transformations can be found from Fermionic first class constraints by adapting the approaches of Henneaux, Teit elboim and Zanelli.
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BRST formulation of a gauge-invariant chiral Schwinger model
TL;DR: The BRST formulation of a gauge-invariant chiral Schwinger model (in the standard regularization with the Jackiw-R Rajaraman regularization parametera = 1) àla Mitra-Rajamaran is investigated.
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String model in D=1+3 dimensions: the non-standard approach to Hamiltonian dynamics and quantization
TL;DR: In this article, a new Hamiltonian formalism is constructed by means of a reduction to the Wess-Zumino-Witten-Novikov (WZWN) model, in which a Poisson bracket structure of the theory is given in terms of the algebra ((sl(2,C)(X)(t-1, t))(+)Cz)(X)P, where P is the Poincare algebra.
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Constrained Variational Calculus for Higher Order Classical Field Theories
TL;DR: In this article, an intrinsic geometrical setting for higher order constrained field theories is developed, using an appropriate generalization of the classical Skinner-Rusk formalism, and some examples of application are studied.
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.