Recent content by goolsby

  1. G

    Find the expectation value of momentum squared for a simple harmonic oscillator

    Uh oh, I didn't substitute for a. Is this a common constant? They give what A0 is, but it goes away with the identity for <x2>.
  2. G

    Find the expectation value of momentum squared for a simple harmonic oscillator

    The momentum operator squared is -hbar2 δ2/δx2
  3. G

    Find the expectation value of momentum squared for a simple harmonic oscillator

    Find the expectation value of (px)2, keeping in mind that ψ0(x) = A0e−ax2 where A0 = (2mω0/h)^1/4, and <x2> = ∫x2|ψ|2dx = h_bar / 2mω0 <ψ(x)|px2|ψ(x)> = ∫ψ(x)(pop2)ψ(x) dx pop = [hbar / i] (\delta/\deltax) I'm not going to attempt to type out me solving the integral because it...
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