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Probability density and wavefunction for harmonic oscillator

  1. Jan 26, 2010 #1
    1. The problem statement, all variables and given/known data
    Does a wavefunction have to be normalized before you can calculate the probability density?

    2. Relevant equations

    3. The attempt at a solution
    Im thinking yes? so that your probability will be in between 0 and 1?
  2. jcsd
  3. Jan 26, 2010 #2


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    Yes. You normalize it first. But that doesn't mean the probability density is between 0 and 1. If you have x has is definitely between 0 and 1/2 not elsewhere with uniform probability, that's a probability density of 2 between 0 and 1/2. It does mean the integrated probability density will be 1.
    Last edited: Jan 26, 2010
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