Speaker
Description
I present a numerical study in the framework of quantum theory of the scattering of a particle moving in a two-dimensional plane on a static potential. I first outline the split-operator (SO) method used to integrate the time-dependent Schrödinger equation (TDSE) and introduce the code developed for this study. To validate the implementation, I present test results for a free particle, comparing them with known analytical formulas. Next, I analyze the scattering on a centrally symmetric Gaussian potential; I calculate the differential cross-section from the probability current and extract the corresponding phase shifts. Finally, I consider the case of the non-central Henon-Heiles potential, illustrating how the shape of the scattered probability current depends on the initial energy of the particle.