Explain the physical significance of C and why the solution for C is not important in determining ;SPMlt;x;SPMgt;.
Use your results for A(t) and B(t) to determine ;SPMlt;x;SPMgt; for
the wave function 
and verify that the results you found in
section 4.1.2 using Ehrenfest's Theorem were indeed correct.
Show that the width of the packet exhibits the precise minimal
spreading allowed under the HUP: a) generalize your derivation of
Problem 3-1 (problem 1 from Problem Set 3) to the case of particles
moving not in free space but under a constant force and b)
show that 
for your wave function follows this
behavior exactly
Hint: Keep in mind that 
is a Gaussian of standard deviation 
.
Finally, determine 
the width of the
distribution in momentum as a function of time. Give a
classical explanation for the behavior which you find.
Hint: You have at least three choices: a) transform your wave
function to momentum space and pick off the width of the Gaussian
distribution 
, b) normalize your wave function and then
use the momentum operator to compute 
, or c) knowing that 
must
also be a Gaussian form, write
and then generate equations for 
,
, 
from the TDSE in momentum space.
(Note that in this case 
.) Think through your options carefully and then choose
the best one for you.