Hamiltonian two-body system in special relativity

DOI10.1007/s10773-011-0856-1zbMath1242.83004arXiv1006.5443OpenAlexW3104198221MaRDI QIDQ429899

Philippe Droz-Vincent

Publication date: 20 June 2012

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5443

Mathematics Subject Classification ID

Special relativity (83A05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Equations of motion in general relativity and gravitational theory (83C10)

Related Items

Relativistic action at a distance and fields, Relative motion in spacetime

Cites Work

• The relativistic two-body potentials of constraint theory from summation of Feynman diagrams
• An analysis of relativistic two-particle interactions
• The N- and 1-Time Classical Descriptions of N-Body Relativistic Kinematics and the Electromagnetic Interaction
• Relativistic Systems of Interacting Particles
• Centers of mass and rotational kinematics for the relativistic N-body problem in the rest-frame instant form
• Two-body wave equations in curved space–time
• Interaction contra Classical Relativistic Hamiltonian Particle Mechanics
• Hamiltonian relativistic two-body problem: center of mass and orbit reconstruction
• The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
• Forms of Relativistic Dynamics