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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Manifest Covariant Hamiltonian Theory of General Relativity
TL;DR: In this paper, a manifest covariant Hamiltonian theory of General Relativity in the presence of source variables is proposed, based on a synchronous variational principle for the Einstein equation, formulated in terms of superabundant variables.
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BV-BFV approach to General Relativity: Palatini-Cartan-Holst action
TL;DR: In this article, the Palatini-Cartan-Holst formulation of General Relativity in tetrad variables is complemented with additional requirements on the fields when boundaries are taken into account for the associated BV theory.
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Geometry of the physical phase space in quantum gauge models
TL;DR: In this article, the effects caused by non-Euclidean geometry of the physical phase space in quantum gauge models are described in the operator and path integral formalisms, and applications to the Kogut-Susskind lattice gauge theory are given.
Journal ArticleDOI
Analysis of constrained theories without use of primary constraints
TL;DR: In this article, the Dirac approach to Hamiltonization of singular theories can be slightly modified in such a way that primary Dirac constraints do not appear in the process, and the modified scheme, Hamiltonian formulation of singular theory is first order Lagrangian formulation, further rewritten in special coordinates.
Journal ArticleDOI
Energy, Momentum and Angular Momentum in Poincare Gauge Theory
Kenji Hayashi,Takeshi Shirafuji +1 more
TL;DR: In this paper, the spin angular-momentum complex for an isolated system whose boundary at infinity is Minkowskian was investigated by the generator method mutatis mutandis.
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.