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Problem 10.3: Determine the expectation values for the energy eigenfunction
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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.
- What do you notice about the values of <x> and <x2> as you vary n?
- What do you think <x2> should become in the limit of n → ∞? Why?
- What do you notice about the values of <p> and <p2> as you vary n?
- For n = 1, what are Δx and Δp?