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Homework Help: Harmonic Oscillator problem

  1. Dec 3, 2007 #1
    1. The problem statement, all variables and given/known data

    For a 1D QM harmonic oscillator,

    (a) the discrete energy states are nhw

    (b) the discrete energy states are (n+0.5)hw

    (c) the lowest energy state wave function is ~[tex]\exp^\frac{-\alpha^2\ x^2}{2}[/tex]

    (d) the probabilty of finding the particle outside the classical limit is non-zero.

    2. Relevant equations

    3. The attempt at a solution

    I think (b) and (c) are correct...by theory...

    Should not (d) be also correct?--outside the classical limit=>inside quantum domain...
    Last edited: Dec 3, 2007
  2. jcsd
  3. Dec 3, 2007 #2


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    Staff Emeritus
    Science Advisor
    Gold Member

    Yes, d is also correct. It is useful to do the calculation (one time in your life; and the sooner the better) to estimate the probability of finding the particle in its ground state outside the classical turning points.
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