Wave packet Collision on Barrier

Before collision
after collision

Inspiration

What it does

It simulates real-time a quantum wave packet collision on a barrier.

How we built it

We used python. Pygame was used to create a gui and numpy and scipy was used to simulate the quantum dynamics.

the method used is the Crank-Nicolson method. We used as reference Christoph Wachter 2017 Bachelor Thesis https://physik.uni-graz.at/~pep/Theses/BachelorThesis_Wachter_2017.pdf

Challenges we ran into

We encountered problems of divergence when simulating the dynamics. We had to optmize the parameters to get consistent solutions.

Accomplishments that we're proud of

We are proud to have been able to finish and show the collision. It is great to be able to see visually the transmission and reflection of a wave packet.

What we learned

We learned the details of simulating in real-time the dynamics of the Schrodinger equation. It is really important to get the right discretization values dt and dx.