# Homework Help: Probability density and wavefunction for harmonic oscillator

1. Jan 26, 2010

### hellomister

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
n/a

3. The attempt at a solution
Im thinking yes? so that your probability will be in between 0 and 1?

2. Jan 26, 2010

### Dick

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