Constraint dynamics of particle world lines

Sudarshan, E. C. G. ; Mukunda, N. ; Goldberg, J. N. (1981) Constraint dynamics of particle world lines Physical Review D, 23 (10). pp. 2218-2230. ISSN 0556-2821

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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 elevengenerator 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.

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Source:Copyright of this article belongs to American Physical Society.
ID Code:25309
Deposited On:06 Dec 2010 13:36
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