(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

V(x) = 0 for x < 0; V0 for 0 < x < a; 0 for x > a

Particle of mass m

E=V0

Asks for general solution and transmission coefficient.

2. Relevant equations

Time-Independent Schrodinger Equation

3. The attempt at a solution

I've found region I (the left region where x <0) to be Ae^{ikx}+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 Fe^{ikx}+Ge^{-ikx}.

My textbook has the right region in an example as just Fe^{ikx}. 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.

Thanks.

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# Rectangular Potential Barrier Where E=V0

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