Problem 10.3

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A particle is in a one-dimensional box of length L = 1.  The states shown are normalized.  The results of the integrals that give <x> and <x²> and <p> and <p²>.  You may vary n from 1 to 10.    Restart. 

1. What do you notice about the values of <x> and <x²> as you vary n? 
2. What  do you think  <x²> should become in the limit of n → ∞?   Why?
3. What do you notice about the values of <p> and <p²> as you vary n? 
4. For n = 1, what are Δx and Δp?

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