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

Consider particles incident (in one dimension) on a potential energy step with E>U.

(That is, particles of total energy E are directed along in one dimension from a region of U=0 to a region of E>U>0.)

Apply the boundary conditions for [tex]\Psi[/tex] and d[tex]\Psi[/tex]/dx to find the probabilities for the wave to be reflected and to be transmitted.

Evaluate the rations [|B'|^2]/[|A'|^2] and [|C'|^2]/[|A'|^2] and interpret these terms.

2. Relevant equations

x<0: [tex]\Psi[/tex]1 = A'e^(ikx) + B'e^(-ikx)

x>0: [tex]\Psi[/tex]2 = C'e^(ik1x) + D'e^(-ik1x)

3. The attempt at a solution

I know that the boundary conditions are [tex]\Psi[/tex]1(x=0)=[tex]\Psi[/tex]2(x=0) and d[tex]\Psi[/tex]1(x=0)/dx.

But how do I find the probabilities for the wave to be reflected or transmitted? Would that happen to be those ratios? Because if |B'|^2 = |A|^2, then the whole wave is reflected, so the probability of it being reflected is 1.... AND the ratio would be 1.

So is that the right idea?

Thanks.

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# Homework Help: Schrodinger's Equation, Potential Energy Step E>U

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