## Time Evolution of Wave Functions B

Note: Thanks to comments by Edwin Taylor and others at the Rochester AAPT
meeting, these exercises will come in two flavors. One will represent
complex functions as the amplitude being the full height with the amplitude
being positive and negative. The other will represent the amplitude as
full height with the amplitude being positive only. In both cases the
phase is represented by color.

This section uses the latter.

# Table of Contents

## Exercises

- TimeEvolution0: Introduction to
complex notation.
- TimeEvolution1: The time-dependent wave
function for a particle in an infinite square well.
- TimeEvolution2: The time-dependent wave
function for a superposition in an infinite square well.
- TimeEvolution3: The time-dependent wave
function for a superposition in an infinite square well.
- TimeEvolution4: The time-dependent wave
function for a superposition in an infinite square well: Dx.
- TimeEvolution5: The time-dependent wave
function for a superposition in an infinite square well: Dp.

**In-Class Demonstrations**

- DemoComplex: Show various complex
functions.
- HUP:Superposition: Calculate the Heisenberg
Uncertainty Principle as a function of time for the superposition.
- QM Bouncer: A Gaussian
wavepacket in the potential infinity*step(-x)+x*step(x), the quantum bouncer