An exact solution of the Currie-Hill equations in 1 + 1 dimensional Minkowski space

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Abstract

We present an exact two-particle solution of the Currie-Hill equations of Predictive Relativistic Mechanics in 1 + 1 dimensional Minkowski space. The instantaneous accelerations are given in terms of elementary functions depending on the relative particle position and velocities. The general solution of the equations of motion is given and by studying the global phase space of this system it is shown that this is a subspace of the full kinematic phase space.

Original languageEnglish
Pages (from-to)3488-3496
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume378
Issue number47
DOIs
Publication statusPublished - Nov 7 2014

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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