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

The description of the potential distribution is given in the attached image.

The particle arrives from the left with E>V0.

write the solutions to the S.E in regions x<o and x between o and a

2. Relevant equations

I believe psi(x)= e^ikx+Re^-ikx in x<0

and psi(x)=Ae^iqx+Be^-iqx for x b/w o and a.

3. The attempt at a solution

My question is, since there is complete reflection occuring at x=a, can A=B in region x b/w 0 and a? If so, there will be destructive interference in the region, giving R=1, which is what we are asked to prove in the question. Is this approach of equating coefficients of wave traveling in +-x directions in this region applicable?

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# Standing waves in a funny Potential distribution

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