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Problem 10.3: Determine the expectation values for the energy eigenfunction


n =

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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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