Relativistic Two-Body Problem in Quantum Theory

Nonequilibrium Relativistic Quantum Many-Body Theory

Perihelion Precession in the Special Relativistic Two-Body Problem

The classical two-body system with Lorentz-invariant Coulomb actionat-a-distance V = −k/ρ is solved in 3+1 dimensions using the manifestly covariant Hamiltonian mechanics of Stückelberg. Particular solutions for the reduced motion are obtained which correspond to bound attractive, unbound attractive, and repulsive scattering motion. A lack of perihelion precession is found in the bound attracti...

Solvable Quantum Two-body Problem: Entanglement

The notion of entanglement was introduced by Schrödinger [1] who considered as the essential feature of quantum mechanics the fact that when two particles interact by a known force and then separate, they can no longer be considered as independent. This ought to be evident in the case of a hydrogenic atom for which, by some mechanism, the interparticle interaction is lost and the atom is ionize...

Relativistic Quantum Field Theory

Applications of Lobachevsky Geometry to the Relativistic Two-Body Problem

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 geom...