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ZedCar
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Homework Statement
A particle of total energy E is incident on a potential barrier V0 (E<V0) between x=0 and x=a. Write down the allowed eigenfunctions in the regions x<0, 0<x<a and x>a in terms of five unknown constants A, B, C, D and F where A and F are the amplitudes of the incident and transmitted eigenfunctions.
Homework Equations
The Attempt at a Solution
The solution as provided with this question is as below, though you'll notice it uses A, B, C, D, F & G. So either the question mistakenly excluded 'G' or there is some error in the provided solution.
ψI = Aexp(ikx) + Bexp(-ikx)
ψII = Cexp(αx) + Dexp(-αx)
ψIII = Fexp(ikx) + Gexp(-ikx)
If the solution provided above is correct, is 'G' therefore the amplitude of the transmitted eigenfunction, not 'F' as stated in the question?