Potential well solutions question

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The discussion centers on the implications of variable 'd' in potential well solutions, specifically addressing scenarios where 'd=0' leads to equivalent outcomes. Additionally, it emphasizes the importance of the depth variable 'u' in understanding barrier interactions, suggesting that without its quantitative involvement, the transition to an infinite barrier scenario may not be valid. The conversation highlights critical considerations for analyzing potential wells in quantum mechanics.

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Thanks in advance
 
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Without really answering the question it might help you to think about two things:

1) what is d, if d=0 then you have the same answer!

2) if it had to do with passing through the barrier shouldn't the depth u be of interest as well? in the sense that there is no passing through an infinite barrier, but if u is not quantatively involved then passing to the limit u goes to infinity will not end you up in the case of the infinite well.
 

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