TY - JOUR

T1 - An exact solution of the Currie-Hill equations in 1 + 1 dimensional Minkowski space

AU - Balog, János

PY - 2014/11/7

Y1 - 2014/11/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84908517861&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908517861&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2014.09.062

DO - 10.1016/j.physleta.2014.09.062

M3 - Article

AN - SCOPUS:84908517861

VL - 378

SP - 3488

EP - 3496

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 47

ER -