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Quantum mechanical expectation value

  1. Apr 24, 2010 #1
    I'm trying to calculate the expectation value of the momentum squared (p^2) of the harmonic oscillator ground state.

    The integral involves the second derivative of a Gaussian (exponential of a negative squared term)

    Then the integral involves, after working it out, an x^2 term times exp(-x^2).

    I tried this by integrating by parts but it gets me no where. Am I missing something???
  2. jcsd
  3. Apr 24, 2010 #2
    Wait, I solved it :p

    If anyone is interestes, it's just the fact that the 2nd term is a derivative of a Gaussian!
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