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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Is the Copenhagen interpretation inapplicable to Quantum Cosmology
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Hamiltonian, Path Integral and BRST Formulations of the Vector Schwinger Model with a Photon Mass Term with Faddeevian Regularization
Usha Kulshreshtha,Usha Kulshreshtha,Daya Shankar Kulshreshtha,Daya Shankar Kulshreshtha,James P. Vary +4 more
TL;DR: In this article, the Stueckelberg mechanism was used to recover the physical content of the original gauge-non-invariant (GNI) theory from the newly constructed GI theory under some special gauge-choice.
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Tracing KAM tori in presymplectic dynamical systems
TL;DR: In this paper, a KAM theorem for presymplectic dynamical systems is presented, where the authors show that given a Diophantine frequency and a family of mappings, if we find an embedded torus which is approximately invariant with rotation, such that the torus and the mappings satisfy some explicit non-degeneracy condition, then we can find a value of the parameter close to to the original ones.
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Offshell quantum electrodynamics
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Renormalization and Coarse-graining of Loop Quantum Gravity
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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.