Constraint dynamics of particle world lines

Journal Article · Fri May 15 00:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.2218· OSTI ID:6497416

Sudarshan, E C.G.; Mukunda, N; Goldberg, J N

The Dirac generator fomulations for relativistic Hamiltonian dynamics is extended by explicitly separating the question of dynamical evolution in an inertial frame from that of changes of frame. We obtain a new eleven-generator formalism: ten to realize the Poincare Lie algebra, and one to provide equations of motion. For point-particle systems, a new form of the world-line conditions is developed. It is demonstrated that with these extensions one can consistently describe classical point particles with interaction in a relativistically invariant way while maintaining invariant world lines. This paper uses the approach based on independent particle variables to set up such theories.

• Research Organization: Center for Particle Theory and Department of Physics, The University of Texas, Austin, Texas 78712
• OSTI ID: 6497416
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 23:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
CLASSICAL MECHANICS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HAMILTONIANS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
PHASE SPACE
POINCARE GROUPS
QUANTUM OPERATORS
RELATIVITY THEORY
SPACE
SYMMETRY GROUPS
TRANSFORMATIONS