Show that to be consistent with the
boundary conditions at 
and the additional constraint that
the wavefunction is an even function of x, that the most general
acceptable solution of the TISE must be of the form,
Be sure to verify that this form satisfies the TISE in each
region and that is is the only one consistent with the boundary
conditions and symmetry. Give the appropriate values for
, 
and k in terms of 
, 
, 
, m
and E.
Hint: You may find a sketch of the wavefunctions to be useful in
your thinking.
