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

Please wait for the animation to completely load.

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.**

- Check that the state is normalized. What
*f*(*x*) must you use to do this? - What is the expectation value of
*x*? - What is the expectation value of
*x*^{2}? - What is Δ
*x*?

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