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**1. Homework Statement**

I'm supposed to show that whatever superposition of harmonic oscillator states is used to construct wavepacket of the form [tex]\sum[/tex] cv[tex]\Psi[/tex] (x,t) (cv are arbitary complex coefficients), it is at the same place at the times 0, T, 2T,.. where T = 2 [tex]\pi[/tex]/[tex]\omega[/tex]

**2. Homework Equations**

**3. The Attempt at a Solution**

I was thinking of using the position operator on the function and subbing t = 2n [tex]\pi[/tex]/[tex]\omega[/tex] as the time but i dont really know where to start

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