In case you were wondering, my undergraduate physics thesis was in the area
of quantum chaos, and my advisor was Michel Baranger. I explored the
semiclassical connections between the quantum and classical regimes
in chaotic systems. Specifically, the
device that I used to examine the behavior of these systems is the energy vs. period plot (which is usually
defined classically, but a quantal analogue to it exists). I derived a
semiclassical approximation for it in terms of the classical periodic orbits and then verified my formula
numerically. If you are *really* interested, my entire thesis is now on the web, equations and figures and all!
There are many links to
chaos-related sites on the Web. For example, here is
a collection of fractal images.