Journal ArticleDOI
Generalized Hamiltonian dynamics
Reads0
Chats0
TLDR
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
More filters
Proceedings ArticleDOI
On an integrable discretisation of the Lotka-Volterra system
Yang He,Yajuan Sun +1 more
TL;DR: In this paper, the authors study the discretization of a three-dimensional integrable Lotka-Volterra system by using backward error analysis to establish the corresponding modified equation determined by numerical discretisation and analyze its properties.
Journal ArticleDOI
Interaction of extended objects with a local field (I)
Kenzo Ishikawa,Kenzo Ishikawa +1 more
TL;DR: In this article, the covariant formulation of extended objects (solitons) in quantum field theory is presented, and the masses and the form factors of the ground state and excited states in some specific model are found.
Journal ArticleDOI
Reduced Order Podolsky Model
TL;DR: In this paper, the canonical and path integral quantizations of a lower-order derivatives model describing Podolsky's generalized electrodynamics were performed at both classical and quantum levels.
Journal ArticleDOI
The Kustaanheimo-Stiefel transformation in geometric algebra
TL;DR: In this article, the Kustaanheimo-Stiefel (KS) transformation is formulated in the language of geometric Clifford algebra, which offers the advantages of a clearer geometrical interpretation and greater computational simplicity.
Journal ArticleDOI
On Identities of a Ternary Quaternion Algebra
TL;DR: In this article, a simple 4-dimensional ternary algebra 𝒜 which appears analogously to the quaternions from the Lie algebra was studied.
References
More filters
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.