Problem set 3 (assigned 3/3, due 3/17)

See attachment for problem set 3, assigned 3/3, due 3/17. Note: I have attached two additional files which are scanned pages from Mattuck, "A Guide to Feynman Diagrams in the Many-Body Problem". The first shows the diagrams referred to for 5A, and the second has some helpful information for the actual calculation if you get stuck. The Feynman rules for $G(k,\omega)$ (attached to the node on diagrammatics) may also be helpful.