Forms of relativistic dynamics with world line condition and separability

Journal Article · Mon Feb 28 23:00:00 EST 1983 · Found. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01906186· OSTI ID:6296544

Sudarshan, E C.G.; Mukunda, N

The Dirac generator formalism for relativistic Hamiltonian dynamics is reviewed along with its extension to constraint formalism. In these theories evolution is with respect to a dynamically defined parameter, and thus time evolution involves an eleventh generator. These formulations evade the No-Interaction Theorem. But the incorporation of separability reopens the question, and together with the World Line Condition leads to a second no-interaction theorem for systems of three or more particles. Proofs are omitted, but the results of recent research in this area is highlighted.

• Research Organization: Centre for Theoretical Studies, Indian Institute of Science, Bangalore 5600012, India
• DOE Contract Number: AS05-76ER03992
• OSTI ID: 6296544
• Journal Information: Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 13:3; ISSN FNDPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
DYNAMICS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HAMILTONIANS
INTERACTIONS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE INTERACTIONS
QUANTUM OPERATORS
RELATIVITY THEORY
TRANSFORMATIONS