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Transmission of a TWO step potential

  • Thread starter 79nrep
  • Start date
  • #1
1
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Homework Statement


Consider the potential:
V(x)
=0 x<0
=V1 0<x<a
=V2 x>a

Where 0<V1<V2 and E>V2

Evaluate the transmission coefficient for the incident wave into the region x>a


Homework Equations


T= 4k0k1/((k0+k1)^2)


The Attempt at a Solution


I have not attempted this. It seems pretty straight forward if there were only ONE step. How does the fact that there are two steps factor into the answer?

Thank you.
 

Answers and Replies

  • #2
674
2
You will have 2 boundary conditions which can affect your answer. Since a wave travelling from the far left will interact with both of them, and some of it will reflect back at both steps.

Just solve for the wavefunction with the 2 BC's, and solve for the transmission the way you usually do after that.
 

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