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Homework Help: Harmonic Oscillator eigenvalue

  1. Feb 20, 2013 #1
    1. The problem statement, all variables and given/known data

    Write down the v=1 eigenfunction for the harmonic oscillator. Substitute this eigenfunction into the Schrodinger equation and show that the eigenvalue is (3/2)hν.

    2. Relevant equations

    3. The attempt at a solution

    I'm not really sure on how to to this, but heres what I did...

    The wavefunction of an oscillator is ψv(x) = NvHv(y)e−y2/2. For V = 1, Hv(y) = 2y.

    ψv(x) = Nv(2y)e−y2/2.

    Then I normalized it by squaring it and finding out what N is. I tried plugging in the schrodinger's equation but it doesn't work. What am I doing wrong?
  2. jcsd
  3. Feb 21, 2013 #2


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    So far so good, but we can't help you if you don't show the rest of your work.
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