Operator Form of Scattering Green’s Function and the Integral Equation for the Scattering Problem

Abstract

So far, we have worked strictly in coordinate representation for the very limited problem of the scattering of a structureless point particle from another structureless point particle. To generalize to more complicated situations involving composite projectile and target particles, with the possibility of inelastic collision processes or rearrangement collisions, or even to iterate the Born approximation for the case of structureless point particles, it will be advantageous to recast both the scattering Green's function and the scattering integral equation into operator form.