Modeling electrons.

Here is an electron in a wave-packet state that is a superposition of free-electron energy-eigenstate wave-functions and their time dependence. The smooth line shows the wave-function squared (in units of \(nm^{-1}\) and the oscillating curves, there are two of them, show the real and imaginary parts of the wave-function in units of \(nm^{-1/2}\). Although it says crystal wave-packet, it is actually a free-electron wave-packet (I think you can tell from the smoothness of the wave-function squared, which would be textured by the crystal lattice potential in a crystal.) This is calculated from the Schrodinger equation and a superposition of free electron eigenstates just like you are doing in HW5. I think if you plot your results it will look pretty much like this.