This animation shows the reflection/transmission on a potential step:
Items to be discussed:
- Real and imaginary part of the Gaussian wave packets move with a different speed than |Ψ(x,t)|². This Illustrates phase velocity vs. group velocity
- Once the packet hits the step (also shown in animation), parts of it are reflected, and parts are transmitted, which helps understand the respective undergraduate standard formulae. One could even position an observer at some positive x-value, that integrates |Ψ(x,t)|² over time to measure how much of the wave packet is transmitted.
- The last thought can then also be set into relation with conservation of probability and the continuity equation.