Reflected and Transmitted wavefunction (QM)

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Homework Statement


I'm asked to calculate the reflected and transmitted part of the wavefunction, in fact, this is the first time i encounter this so i need your assistance.

Homework Equations


Time independant schrodinger equation + continuity condition

The Attempt at a Solution


See the pic[/B]
 

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Hi Noctisdark, could you please upload a picture where your attempt is easier to see? It is quite difficult to understand what you are trying to do on such a dark and poor resolution photo.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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