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Lyons_63

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2. Homework Equations

Energy of the system

E=(ρ1)^2/2m + (ρ2)^2/2m+ mω^2/2 (x1+x2)

ρ= momentum

ω=angular frequency of the system

3. The Attempt at a Solution

The energy levels for a single oscillator are given by E=hbar ω (n + 1/2)

I am not sure to go from here and how to incorporate the fact that there are two particles in the system

Any help would be great!