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Problem 6.5: Calculate expectation values of x for an arbitrary state

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The wave function shown in the upper left-hand graph, is for a particle in an infinite square well of length L = 2.  You may import a function of x and calculate the integral of that function times the probability density.  In the animation, ħ = 2m = 1.

  1. Check that the state is normalized. What f(x) must you use to do this?
  2. What is the expectation value of x?
  3. What is the expectation value of x2?
  4. What is Δx?

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