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## Homework Statement

What is the probability of finding the particle at x=0 for a simple harmonic oscillator.

## Homework Equations

[tex]\Psi _{0} = (\frac{m\omega}{\pi\hbar})^{\frac{1}{4}} exp (\frac{-m\omega x^{2}}{2\hbar})[/tex]

## The Attempt at a Solution

Going back to basics with this one, too much revision, cant think straight! Please could someone confirm that the probability is:

[tex]P(x=0)= |\Psi (0)|^{2} = (\frac{m\omega}{\pi \hbar})^{\frac{1}{2}}[/tex]

dont know why I'm getting confused with this, feel as though it should be zero at x=0 and the only way to get this would be integrating the term also.

thanks again for any advice