An electron in a box.

Imagine a box. It is surrounded by plates and coils such that you can dial in the Ex, Ey,and Ez electric field components using parallel plate capacitors and the Bx, By, and Bz magnetic field components using electromagnets. The field can be uniform across the volume to good accuracy. Assume that the six field components are static. This is a box that could be made to good accuracy by one skilled in the art.

Now, drop an electron into the box and see how it reacts to various static fields, based on the electron's initial conditions. Under what conditions does the electron gain or loose energy? How are the photons of the static fields interacting with the electron to create such diverse behaviour? What exactly is going on if you use the QED photon-electron interaction model?

This is a very interesting problem and begs MatLab simulation. I'll get around to it! Have you done it?