The purpose of this assignment is to provide an opportunity for you to study
a topic of your choice in greater depth. The general guideline for your
choice of project is that it should have something to do with quantum
mechanics, and there should be some degree of computation associated with the
project. The completed project will include a short write-up and a ~10min
presentation to the class. You may design your own project or use one of
the following list (which will be updated throughout the term).
Consider a scattering experiment in which you specify the
spherically symetric interaction
potential V(r). Write a computer program (using your favorite language)
to evaluate the scattering phase shifts and
cross section for your system. Or you can use the Born approximation
to estimate the scattering cross section.
Use the variation method to find the lowest eigenstate of
a Schödinger equation of your choice.
Using degenerate perturbation theory, analyze the spin splitting
of your favorite open shell atom in the presence of a magnetic field B,
showing both the Zeeman and Paschen-Back limits.