# Ground state energy of harmonic oscillator

## 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 im not sure how to proceed with this.