Relativistic and Realistic Classical Mechanics of Two Interacting Point Particles

Abstract

Classical mechanics of two point particles interacting at a distance is given a Lorentz-co-variant formulation without introducing unphysical degrees of freedom such as usually accompany the two-time formalism. The theory is then quantized and compared with quantum field theory to allow the determination of realistic potentials. Exact solutions are obtained for an inverse distance potential; classical orbits as well as quantum energy levels are determined.