Some Cool Schrodinger Graphs

Recently, I tried to plot data using equations, but it took a while to understand and do, and I'm happy to show my progress. The equation I used was the famous Schrödinger time-dependent equation, which just explains how quantum state changes over time. To plot the data, I used Jupyter, which uses Python 3.8.

Graph 1 shows how, at the start, the particle was in many places at once called superposition, and once we observe it, the particle decides to collapse into one position. In graph 1, you can see the line over time, focused on a single point, which purple shows the most.

Shows the eigenstates:

Using the equations (warning I have messy handwriting):