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Dean Navels
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Homework Statement
Show the mean position and momentum of a particle in a QHO in the state ψγ to be:
<x> = sqrt(2ħ/mω) Re(γ)
<p> = sqrt (2ħmω) Im(γ)
Homework Equations
##\psi_{\gamma} (x) = Dexp((-\frac{mw(x-<x>)^2}{2\hbar})+\frac{i<p>(x-<x>)}{ħ})##
The Attempt at a Solution
I put ψγ into the equation
<p> = ∫[ψ(x,t)]* (-iħψ'(x)) dx
Which gave me
(-(mω(x-<x>)/ħ)+((<p>)(i/ħ))*ψγ which I can't help but feel is taking me further away from what I'm looking for. Are there easier alternative route to doing this?
Thank you in advance
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