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Homework Help: Harmonic oscillator and the HUP

  1. Oct 20, 2009 #1
    1. The problem statement, all variables and given/known data

    Prove that a 1-d harmonic oscillator in ground state obeys the HUP by computing delta P sub x and delta X

    2. Relevant equations

    delta x = sqrt(<x^2>-<x>^2)
    delta px = sqrt(<px^2>-<px>^2)

    3. The attempt at a solution

    I have absolutely no idea where to start with this. Maybe I'm missing something simple (doubtful - I'm a chem major getting crushed by p-chem - very little calc experience), but I have no idea how to do this and it's driving me absolutely nuts. Any help would be great.
  2. jcsd
  3. Oct 21, 2009 #2


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    Homework Helper

    You need:

    the 1-D ground-state wave function of the harmonic oscillator.
    the definition of expectation value (the angle bracketed objects are expectation values).
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