Relativistic and separable classical Hamiltonian particle dynamics

DOI10.1016/0003-4916(81)90088-9zbMath0476.70013OpenAlexW1997985013MaRDI QIDQ1159990

H. Sazdjian

Publication date: 1981

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(81)90088-9

zbMATH Keywords

separabilityEinstein causalitytwo-body potentialsPoincare invarianceclassical relativistic N-particle Hamiltonian dynamicsfirst-class constrainstinteraction massmany- body potentialsPoincare algebra generatorsredundant variablessystem of quasilinear first-order partial differential equationsworld-line invariance

Mathematics Subject Classification ID

Special relativity (83A05) (n)-body problems (70F10) Hamiltonian and Lagrangian mechanics (70H99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items

Relativistic action-at-a-distance interactions: Lagrangian and Hamiltonian to terms of second order, Relativistic action at a distance and fields, Poincaré invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach, The connection of two-particle relativistic quantum mechanics with the Bethe–Salpeter equation, Exact solutions of the relativistic many body problem, N-body bound state relativistic wave equations

Cites Work

• Canonical realizations of the Poincaré group. II. Space–time description of two particles interacting at a distance, Newtonian-like equations of motion and approximately relativistic Lagrangian formulation
• The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
• Classical Electrodynamics in Terms of Direct Interparticle Action
• Forms of Relativistic Dynamics
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