Time Evolution of Wave Functions A

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 former.

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