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Problem set 3
Due on or before Wednesday, March 20
For reference use lecture notes, Walecka's book and Fetter and Walecka's book
1 In this problem you will do numerical computation of a path integral. But
rst some analytical calculations.
10pt Consider a
Problem set 3
Due on or before October 22
For reference use lecture notes, F&W, and a book on mathematical methods
in physics for problem 2 e.g. Byron and Fuller.
This is problem 3.3 + 3.4 from F&W
1. De ne a two-particle Green's function as,
G
0 0 0 0
;
Problem set 2
Due on or before Feb 25
For reference use lecture notes and F& W.
1. 10pt In class we showed that at low-T the self energy in the Hartree-Fock
HF can be approximated by
Z
d3 p 2V 0 , V p , k
23
e
+ p; T , p; 0 @ @p , p
p, + 1
1
where p is
Problem set 4
Due on or before November 7
For reference use lecture notes and F& W.
This is problem 3.11 from F& W
1. Consider a system of free spin-1 2 fermions in a static, spin-dependent external potential given by the Hamiltonian,
Z
^
^
Hex = d3 xy xV