METHODS OF NUMERICAL ANALYSIS OF ONE-DIMENSIONAL TWO-BODY PROBLEM IN WHEELER-FEYNMAN ELECTRODYNAMICS

S. V. Klimenko (), I. N. Nikitin () and W. F. Urazmetov ()
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S. V. Klimenko: Russian Center of Computing for Physics and Technology, 142284 Protvino, Russia
I. N. Nikitin: German National Research Center for Information Technology, 53754 Sankt Augustin, Germany
W. F. Urazmetov: Institute for High Energy Physics, 142284 Protvino, Russia

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 05, 905-920

Abstract: Numerical methods for solutions of differential equations with deviating arguments describing one-dimensional ultra-relativistic scattering of two identical charged particles in Wheeler-Feynman electrodynamics with half-retarded/half-advanced interaction are developed. Utilization of the methods for the physical problem analysis leads to the discovery of a bifurcation of solutions and breaking of their reflectional symmetry for particles asymptotic velocityv>0.937cin their center-of-mass frame.

Keywords: Bifurcations; Symmetries violation; Differential equations with deviating arguments; Wheeler-Feynman electrodynamics (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S012918319900070X

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