Find the
solution to the TISE for the case 
. Be certain that your
solution satisfies all appropriate conditions. You need not
normalize your wave function. In your solution, let
k be the de Broglie wave vector for the particles when x;SPMlt;0 and
be the exponential decay constant for the particles when x;SPMgt;0.
Hint: Choosing solutions of the form 
, 
,
, 
will simplify your algebra
considerably.