College of Liberal Arts & Sciences
Math Physics Seminar
Abstract:
The Lippmann-Schwinger equation is one of the fundamental equations of scattering theory and is used to determine the wave function for a particle undergoing a collision with a scattering source. It is often useful to reformulate the Lippmann-Schwinger equation in terms of the transition operator since the transition operator is directly related to the scattering amplitude and can be used to calculate the scattering cross section. In this talk, I will be discussing a numerical method for calculating the Lippmann-Schwinger equation (for the transition operator), and this method is based upon using orthonormal box functions as a basis. I will also demonstrate how this method can be applied when dealing with a separable (non-local) interaction (scattering source).