Applications of Lobachevsky Geometry to the Relativistic Two-Body Problem

Details Applications of Lobachevsky Geometry to the Relativistic Two-Body Problem Applications of Lobachevsky Geometry to the Relativistic Two-Body Problem

2004-05-25

arxiv.org/abs/hep-th/0405219v1

Proceedings of the International seminar: Application and Development of Lobachevsky Ideas in Modern Physics, dedicated to 75-

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex file, no figures

Scientific paper

In this talk we consider the geometrical basis for the reduction of the relativistic 2-body problem, much like the non-relativistic one, to describing the motion of an effective particle in an external field. It is shown that this possibility is deeply related with the Lobachevsky geometry. The concept of relativistic reduced mass and effective relativistic particle is discussed using this geometry. Different recent examples for application of relativistic effective particle are described in short.

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