- #1

Dean Navels

- 12

- 0

## Homework Statement

Show the mean position and momentum of a particle in a QHO in the state ψ

_{γ}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 ψ

_{γ}into the equation

<p> = ∫[ψ(x,t)]* (-iħψ'(x)) dx

Which gave me

(-(mω(x-<x>)/ħ)+((<p>)(i/ħ))*ψ

_{γ}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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