


Description
This is a graduatelevel course in advanced quantum
mechanics as it applies to chemistry. We will begin
by reviewing such mathematical prerequisites as
complex vector spaces, eigenvectors and eigenvalues,
operators, inner and outer products, dual spaces, and
commutators. We will review some advanced concepts in
angular momentum (ladder operators, addition of angular
momenta, etc). We will discuss in detail variational
and perturbation methods. Advanced topics such as
spin, degenerate and timedependent perturbation theory,
and interaction of light with matter will also be discussed.
The remainder of the
course discusses electronic structure theory, starting from
a detailed look at the BornOppenheimer approximation,
followed by a general discussion of electronic structure
and an introduction to the HartreeFock approximation
(i.e., molecular orbital theory), and concluding with a
survey of theoretical models in quantum chemistry. A few
applications to spectroscopy are discussed or covered in
problem sets throughout the course.
Syllabus
Course Syllabus
Required Textbooks
Recommended Supplementary Books
Notes
Problem sets:
Problem Set 1
Announcements
Do not forget to study the book carefully. Much of the course
basically follows the book, so it should be obvious what
portions you need to read.