Determine the transcendental equation for the pure states of
energy in the well in Figure 1 in both cases, where
a) 
and b) 
. Then, show that both equations
are actually the same if we take 
, and
explain why this is the case. The fact that you can
do this is sometimes referred to as ``continuing the solution into the
complex plane.''
Hint: You may wish to use the definitions:
Figure 1: Infinite square well with a bump on one side