An attempt to improve semiclassical calculations of wave transport in a quantum wire with diffraction

In our previous presentations in the series of this seminar, we have shown an interesting phenomenon which was found numerically and later explained semiclassically for coherent electronic transmission through a mesoscopic quantum wire with a step structure: Fistly, we reported by our numerical work that the electric current shows periodic oscillations as a function of a system parameter; secondly, we presented its semiclassical description to explain analytically that this is purely the effect of diffraction and constructive interference of transmitting electrons at the step structure of the wire. This time, we further report an attempt to improve the semi- classical calculations of wave transport in such a system.