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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