Student problem set in quantum many-body theory

Learning basic concepts in quantum many-body theory and starting to do actual calculations is not easy. Furthermore, understanding the relationship between its formulation and application in quantum chemistry and solid state physics is even harder.

A few years colleagues and I ran a series of summer schools for graduate students in physics and chemistry to help them get started. As usual, I think some of us lecturers actually learnt more than the students.

Here are some "basic" problems that I set.