Journal ArticleDOI
Dirac observables and spin bases for N relativistic particles
A Lucenti,L Lusanna,M Pauri +2 more
TLDR
In this paper, a quasi-Shanmugadhasan canonical transformation related to the existence of a Poincare group action is used to construct the Dirac observables in the stratum for relativistic free particles.Abstract:
The construction of the Dirac observables in the stratum for a system of N relativistic free particles is carried out on the basis of a quasi-Shanmugadhasan canonical transformation related to the existence of a Poincare group action. The explicit form of the Dirac observables is derived by exploiting an internal Euclidean group having the Poincare canonical spin as generator of rotations. This procedure provides the symplectic version of the conventional angular momentum composition.read more
Citations
More filters
Journal ArticleDOI
Centers of mass and rotational kinematics for the relativistic N-body problem in the rest-frame instant form
TL;DR: In this paper, a relativistic kinematics for the N-body problem is constructed by exploting the Wigner-covariant rest-frame instant form of dynamics in the context of parametrized Minkowski theories.
Journal ArticleDOI
The Chrono-geometrical structure of special and general relativity: A Re-visitation of canonical geometrodynamics
TL;DR: In this paper, the authors propose a canonical approach to metric and tetrad gravity in globally hyperbolic asymptotically flat space-times, where the use of Shanmugadhasan canonical transformations allows the separation of the physical degrees of freedom of the gravitational field (the tidal effects) from the arbitrary gauge variables.
Posted Content
New Directions in Non-Relativistic and Relativistic Rotational and Multipole Kinematics for N-Body and Continuous Systems
TL;DR: In this article, it was shown that two new sets of relative variables can be defined in terms of a clustering of the angular momenta of sub-clusters and directly related to the so-called dynamical body frames and canonical spin bases.
Journal ArticleDOI
Dynamical body frames, orientation-shape variables and canonical spin bases for the nonrelativistic N-body problem
TL;DR: In this paper, a new privileged class of canonical Darboux bases is proposed for the nonrelativistic N-body problem by exploiting a geometrical and group theoretical approach to the definition of body frame for deformable bodies.
References
More filters
Book
Foundations of mechanics
TL;DR: In this article, Ratiu and Cushman introduce differential theory calculus on manifolds and derive an overview of qualitative and topological properties of differentiable properties of topological dynamics.
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
Feynman Diagrams for the Yang-Mills Field
L. D. Faddeev,V.N. Popov +1 more
TL;DR: In this paper, a simple method for calculation of the contribution from arbitrary diagrams with closed loops was proposed, based on the method of Feynman functional integration, which is used in this paper.
Book
Theory of group representations and applications
A. O. Barut,Ryszard Raczka +1 more
TL;DR: The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder as discussed by the authors, and is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations.
Journal ArticleDOI
Localized States for Elementary Systems
T.D. Newton,Eugene P. Wigner +1 more
TL;DR: In this article, the authors formulated the properties of localized states on the basis of natural invariance requirements and found that the required properties uniquely define the set of localised states for elementary systems of non-zero mass and arbitrary spin.