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    Normalize Harmonic Oscillator wave functions

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    The following are two harmonic oscillator wave functions:

    S(x) = N exp(-max/2h)(2mwx/h)
    S(x) = N exp(-max/2h)[8(mwx/h)^3 - 12mwx/h]

    where N = .

    Show that they are a) normalized, and b) orthogonal

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    Note to student: Please find the answer in the attached file. All these problems involved the integration of one type of standard integral. ...

    Solution Summary

    I have shown how to find if two harmonic oscillator wave functions are orthogonal. Also, I have shown how to find if the are normalized.