- #1

- 22

- 0

## Homework Statement

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.

## Homework Equations

Time-Independent Schrodinger Equation

## 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.