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Easy way to get the expectation value of momentum squared?

  1. Feb 17, 2014 #1
    Hello, I've been trying to define <p2> in terms of <x2>, much the same way that you can write <p> = m d<x>/dt, because it would be easier in my calculations.

    Is this possible, or am I on a fools errand?

    Edit: For Gaussian distributions.
     
  2. jcsd
  3. Feb 18, 2014 #2

    Simon Bridge

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    To get p^2 you apply the position-space operator twice.
    What's the problem?

    Oh you want the classical relation - so you'd need the relationship between <p>^2 and <p^2>?
     
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