$($a$)$ Consider the step$-$potential:

$V(x)=\{\begin{array}{c}{V}_0\text{;}x>0\\ 0\text{;}x<mn\; id="EditorElement\_194713">0</mn>\end{array}$

A current of particles travels from $-$ towards right. Write the stationary solutions for each of the

regions. What is the condition that no current returns towards $+.$ Use the matching condition to

express transmission and reflection amplitudes in terms of the incident amplitude.

Write a python program to:Generate a gif to show the reflection and transmission

on either wall as in the above question. The results should be verified with

theoretical results. Write a short note on the matching condition for transmission

and reflection coefficients.