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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 must be of the form,

where we have defined

and

Be sure to state explicitly which conditions restrict your general
results in part b) to the form now given in c).
Prof. Tomas Alberto Arias
Thu Oct 12 17:19:40 EDT 1995