Exact scattering waves off nonlocal potentials under Coulomb interaction within Schr\"odinger's integro-differential equation

TL;DR

This paper presents an exact method for solving the scattering wavefunction in systems with nonlocal potentials and Coulomb interaction by constructing a Coulomb Green's function, applicable across various nonlocalities and energies.

Contribution

It introduces a novel exact solution approach for Schrödinger's integro-differential equation with nonlocal potentials and Coulomb interaction, without restrictions on nonlocality or energy.

Findings

Exact scattering wavefunction solution derived

Applicable to any nonlocality and energy levels

Framework based on Coulomb Green's function construction

Abstract

An exact solution for the scattering wavefunction from a nonlocal potential in the presence of Coulomb interaction is presented. The approach is based on the construction of a Coulomb Green's function in coordinate space whose associated kernel involves any nonlocal optical potential superposed to the Coulomb-screened interaction. The scattering wavefunction, exact solution of the integro-differential Schr\"odinger's equation, poses no restrictions on the type of nonlocality of the interaction nor on the beam energy.