LOW-ENERGY ELECTRON SCATTERING IN A FORCE FIELD WITH CENTRAL SYMMETRY

Abstract

In this article, we will consider another example of using the reference modeling method to find a solution to a partial differential equation, this time an elliptic one. This type of differential equations is often found in quantum mechanics, however, when studying the process of potential scattering, situations often arise when the currently used methods for approximate calculation of scattering parameters are quite coarse and, as a result, it is necessary to use numerical integration of the Schrodinger equation or similar equations to find a digestible solution. The proposed method allows us to obtain a solution with a fairly high degree of accuracy.

Keywords

• reference modeling method
• nonlinear elliptic differential equation
• low-energy particle scattering
• numerical integration