Homework Set # 7 - Due March 28

  
   
1) Problem 8.7

2) Problem 8.9 (Hint: the sum over k' can be replaced by an intergral in order to integrate by parts and then replace again by a sum).

3) Problem 11.1: I) Provide an expression for d and R in terms of the lattice distance a. Say the range in which you have to let n_i run (how far away from R=0 you had to go until you got the result to 5 decimal places).

4) Problem 11.2

5) Problem 11.6 Notice that in part (b) Eq.(8.72) should be used instead of (8.67) and in part (c) you should find the Fermi energy not the coehesibe energy.