Exact solutions of the relativistic many body problem

DOI10.1016/J.PHYSLETA.2003.11.023zbMath1065.78010arXivhep-th/0308199OpenAlexW2029672058MaRDI QIDQ1418041

Domingo J. Louis-Martinez

Publication date: 6 January 2004

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0308199

zbMATH Keywords

equations of motionaction-at-a-distance electrodynamicsinteracting point charges

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Motion of charged particles (78A35) (n)-body problems (70F10)

Related Items (6)

Equations of motion for variational electrodynamics ⋮ Relativistic action-at-a-distance interactions: Lagrangian and Hamiltonian to terms of second order ⋮ Relativistic action at a distance and fields ⋮ A DERIVATION OF THE BREIT EQUATION FROM BARUT'S COVARIANT FORMULATION OF ELECTRODYNAMICS IN TERMS OF DIRECT INTERACTIONS ⋮ Delay equations of the Wheeler-Feynman type ⋮ On irreversibility and radiation in classical electrodynamics of point particles

Cites Work

• Relativistic and separable classical Hamiltonian particle dynamics
• Centers of mass and rotational kinematics for the relativistic N-body problem in the rest-frame instant form
• Remarks on the Nature of Relativistic Particle Orbits
• Time symmetric electrodynamics and the arrow of time in cosmology
• Electromagnetic Two-Body Problem
• Many-Body Interactions in Atomic and Nuclear Systems
• Classical Electrodynamics in Terms of Direct Interparticle Action
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