This page has recommended homework problems.

Week 1: Marder Chpt. 1, problems 1, 2, 4, 5
Solutions

Week 2:
Marder Chpt. 2, problems 1, 4, 6, 7
Marder Chpt. 3, problems 1, 2, 3
Problem on powder method
Solutions

Week 3:
Marder Chpt. 6, problems 1, 2, 5
Problem: For a two-dimensional electron gas, find an algebraic formula relating the chemical potential, Fermi energy and temperature. Calculate the change in the chemical potential for T=500K, T_F=10,000K (T_F=Fermi temperature). Explain why the Sommerfeld expansion fails in this case.
Solutions

Week 4: (due 11/4)
For a Kronig-Penney model with potential U(x)=aU_0*delta(x-na):
(a) Complete the derivation started in class to get an algebraic equation relating k (Bloch wavevector), q (determining the energy as hbar^2q^2/2m), a, and U_0.
(b) Make a graph of the energy versus k relation for the three lowest energy bands, for U_0/(hbar^2/(ma^2)=3*pi/2
(c) Same as (b) for U_0/(hbar^2/(ma^2)=3*pi/4

Longer homework problem (for 25% of grade), due on November 25th:
LCAO band structure of Silicon