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Finding the mean-square position for quantum harmonic oscillator

  1. Feb 1, 2009 #1
    1. The problem statement, all variables and given/known data
    Hi,
    Could someone give me a tip or two for how to calculate the mean square position ( <x^2>) for a linear quantum harmonic oscillator?


    2. Relevant equations
    I think I'm supposed to use the following recursion relation for Hermite polynomials:
    yHv=vHv-1 + .5Hv+1

    the v, v-1, and v+1 are supposed to be subscripts

    Pointing me to a useful link would be equally helpful.

    3. The attempt at a solution
    Beenworking at this for a whiiiiiiile without much luck.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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