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Sunday, April 26, 2015

Exploring Quantum Physics - Week 4 Bonus Question 5

Question:

Investigate the value of Ψ(x,T2).

Solution:

Just like homework 3 bonus question, we have the exponential term reverse the sign of all the odd terms and leave the even terms alone.

The odd terms are odd functions, so ψ2n+1(x)=ψ2n+1(x).
The even terms are even functions, os ψ2n(x)=ψ2n(x).

So we see by simply substituting -x, we get what we want!

The last thing to notice is that we need to compensate for the extracted out phase term (which I forget), therefore the end result is Ψ(x,T2)=Ψ(x,0).

2 comments:

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  2. These 3 bonus questions will add more knowledge. I am sure you will keep sharing more and more questions in future. Students looking for physics homework help can read these posts. optics homework

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