Ground state energy of harmonic oscillator

ciscog38
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Homework Statement



2N fermions of mass m are confined by the potential U(x)=1/2(k)(x2) (harmonic oscillator)
What is the ground state energy of the system?

Homework Equations



V(x)=1/2m(ω2)(x2)


The Attempt at a Solution


I know the ground state energy of a simple harmonic oscillator is E= 1/2 ℏω
I'm really quite terrible at this and I am not sure how to proceed with this.
 
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What does the fact that your particles are fermions have to do with the problem? How do these particles populate the energy states?
 
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