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## Homework Statement

2N fermions of mass m are confined by the potential U(x)=1/2(k)(x

^{2}) (harmonic oscillator)

What is the ground state energy of the system?

## Homework Equations

V(x)=1/2m(ω

^{2})(x

^{2})

## 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 im not sure how to proceed with this.