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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Updating QCD$_2$
E. Abdalla,M.C.B. Abdalla +1 more
TL;DR: In this article, a review of two-dimensional QCD is presented, with a focus on the integrability and duality of the theory and its relation to string theory.
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Fractional quantum Hall systems near nematicity: Bimetric theory, composite fermions, and Dirac brackets
TL;DR: In this paper, a detailed comparison of the Dirac composite fermion and the recently proposed bimetric theory for a quantum Hall Jain states near half filling was performed by tuning the composite Fermi liquid to the vicinity of a nematic phase transition.
Posted Content
Coalgebraic Approach to the Loday Infinity Category, Stem Differential for $2n$-ary Graded and Homotopy Algebras
Mourad Ammar,Norbert Poncin +1 more
TL;DR: In this article, the authors define a graded twisted-coassociative coproduct on the tensor algebra $TW$ of any graded vector space $W$ if the coderivations of this coalgebra are 1-to-1 with sequences of linear maps on the vector space.
Journal ArticleDOI
Linearization of Nambu Structures
TL;DR: In this paper, a classification of linear Nambu tensors and co-Nambu forms near singular points is given, under the non-degeneracy condition, and a linearization of the linearization is given.
Journal ArticleDOI
Singular Lagrangian systems and variational constrained mechanics on Lie algebroids
TL;DR: In this article, the Lagrangian mechanics for constrained systems on Lie algebroids is described, a natural framework which covers a wide range of situations (systems on Lie groups, quotients by the action of a Lie group, standard tangent bundles, etc.).
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.