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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Pauli–Villars regularization elucidated in Bopp–Podolsky’s generalized electrodynamics
TL;DR: In this article, an inherent Pauli-Villars regularization in Bopp-Podolsky's generalized electrodynamics was discussed, and a unique feature for the corresponding photon propagator with a built-in PV regularization independent of the gauge choice made in Maxwell's usual electromagnetism.
Journal ArticleDOI
Relation between Generators of Gauge Transformations and Subsidiary Conditions on State Vectors ---Point Mechanical Systems with Arbitrary Numbers of Constraints---
Journal ArticleDOI
On Dirac's conjecture for systems having only first-class constraints
TL;DR: In this article, it was shown that all primary or secondary first-class constraints generate equivalence transformations between physical states in a general class of systems having only first class constraints, and that Dirac's conjecture is proved for a general subclass of systems with only firstclass constraints.
Journal ArticleDOI
Gauge condition and constraint in collective coordinate quantization of solitons
TL;DR: In this paper, a canonical quantization of solitons is presented, where the gauge-fixing condition on the field fluctuation and the constraint on its conjugate momentum are set forth in such a way that infrared divergences contained in the continuum meson wavefunctions are removed from the quantum field variables.
Journal ArticleDOI
A mechanical model with constraints
A. Z. Capri,M. Kobayashi +1 more
TL;DR: In this article, a dynamical system with a finite number of degrees of freedom is analyzed under first and second class constraints, and the results are applicable to Yang-Mills fields as well as higher spin fields.
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.