V(x) = 0 for x < 0; V0 for 0 < x < a; 0 for x > a
Particle of mass m
Asks for general solution and transmission coefficient.
Time-Independent Schrodinger Equation
The Attempt at a Solution
I've found region I (the left region where x <0) to be Aeikx+Be-ikx.
Middle region to be C+Dx (not sure where this comes from but I read that this is the solution to the middle region when E=V0 so any help with this is appreciated).
Right region where x > a to be Feikx+Ge-ikx.
My textbook has the right region in an example as just Feikx. It goes through the explanation of limits mattering as x-> infinity or -infinity. I understand this for when E<V0, but the case seems completely different when E=V0.
Any help is appreciated.