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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Hamiltonian and Lagrangian formalisms of mutations in cluster algebras and application to dilogarithm identities
TL;DR: In this paper, a Hamiltonian formalism of mutations in cluster algebras using canonical variables is introduced, where the Hamiltonian is given by the Euler dilogarithm.
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Basis light-front quantization for a chiral nucleon-pion Lagrangian
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First-Order Gauge-Invariant Generalization of the Quantum Rigid Rotor
TL;DR: In this article, the authors developed a new systematic method for converting second-class systems to first-class ones, valid for a family of systems encompassing the quantum rigid rotor as a special case.
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Faddeev-Jackiw quantization method in conformal three-dimensional supergravity
TL;DR: In this paper, a supersymmetric extension of the Faddeev-Jackiw symplectic quantization method was used to analyze the dynamical properties of the conformal supergravity in three space-time dimensions.
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Hamiltonian and Path Integral Quantization of the Conformally Gauge-Fixed Polyakov D1 Brane Action in the Presence of a Scalar Dilation Field
TL;DR: In this article, the conformally gauge-fixed Polyakov D1 brane action in the presence of a scalar dilaton field is seen to be a constrained system in the sense of Dirac.
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.