PHY 1850 F

Homework #2

 

#1:    Kittel    5.1   (Singularity in phonon density of states)

#2:     Kittel    5.4   (Heat capacity of layer lattice)

#3:    Kittel    6.4 & 6.5  (Fermi gases in Stars & Liquid 3He)

#4:    Kittel    6.9 & 8.3 (Static sigma tensor & Two-carrier Hall effect)

#5:    Calculate the density of states & heat capacity for a 2D electron gas.

#6:    Kittel    6.10  (Maximum surface resistance)

#7:    Kittel    7.3    (Kronig-Penney model)

#8:    Kittel    8.1 & 8.2 (Impurity orbits & Ionization of donors)
 
#9:  Extra Credit*Using the time-dependent Schrodinger equation for an electron in a periodic potential and a uniform electric field, show that the wavefunction at time t is a linear combination of Bloch states, all of which have the wavevector k-eEt/h_bar*hint: assume the initial wavefunction to be a linear combination of Bloch states.