Constraint dynamics of particle world lines

Technical Report · Wed Dec 31 23:00:00 EST 1980

DOI:https://doi.org/10.2172/6290658· OSTI ID:6290658

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

The Dirac Generator formulation for relativistic Hamiltonian dynamics is extended by explicitly separating the question of dynamical evolution in an inertial frame from that of changes of frame. A new eleven generator formalism is obtained: 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: Texas Univ., Austin (USA); Syracuse Univ., NY (USA). Dept. of Physics
• Sponsoring Organization: USDOE
• DOE Contract Number: AS05-76ER03992
• OSTI ID: 6290658
• Report Number(s): DOE/ER/03992-400; ON: DE81028338
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
HAMILTONIANS
LIE GROUPS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
POINCARE GROUPS
QUANTUM OPERATORS
SYMMETRY GROUPS