Semiclassical charge transfer in gravitational encounters

Abstract

Semiclassical charge transfer is considered in the context of gravitational encounters. A Schwarzschild radius is invoked as a constant of integration. The point of closest approach is greater than the positive Schwarzschild radius. Charge transfer and Newtonian gravity are considered in an acausal context. In the limit in which the Coulomb potential dominates, the Schrödinger time-dependent equation is regained.